Around 100 of these chemicals are considered to be of "high concern" to human health, said lead study author Birgit Geueke from the Food Packaging Forum Foundation, a Zurich-based NGO.
Some of these chemicals are relatively well-studied and have already been found in human bodies, such as PFAS and bisphenol A—both of which are the target of bans.
But little is known about the health effects of others, Geueke told AFP, calling for more research into how chemicals used in packaging end up being swallowed along with food.
The researchers had previously catalogued around 14,000 food contact chemicals (FCCs), which are capable of "migrating" into food from packaging made of plastic, paper, glass, metal or other materials.
They can also come from other parts of the food-making process, such as from conveyer belts or kitchen utensils.
The researchers then searched for these chemicals in existing biomonitoring databases, which track chemicals in human samples.
The team was expecting to find a few hundred FCCs, Geueke said. Instead, they were surprised to find 3,601—a quarter of all the known FCCs.
Geueke emphasized that this study could not show that all these chemicals necessarily ended up in bodies from food packaging, as "other exposure sources are possible".
Among the "high concern" chemicals were numerous PFAS, also known as forever chemicals, which have been detected in many parts of the human body in recent years and linked to a range of health problems.
Also detected was bisphenol A, a hormone-disrupting chemical used to make plastics that has already been banned from baby bottles in many countries.
Another hormone-disrupting chemical was phthalates, which has been linked to infertility.
Less is known about oligomers, which are also byproducts of plastic production.
"There is almost no evidence on the health effects of these chemicals," Geueke said.
Reduce contact with packaging
When it comes to toxicology, an old saying is that "the dose makes the poison".
A limitation of the study was that it could not say whether there were particularly high concentrations of any of the chemicals, Geueke acknowledged.
But she warned that these chemicals can interact with each other, pointing to a single sample that had up to 30 different PFAS.
Geueke recommended that people reduce their contact time with packaging—and to avoid heating up food in the packaging it came in.
Duane Mellor, an expert in evidence-based medicine at the UK's Aston University and not involved in the research, praised the "very thorough piece of work".
"However, it does not cover how much of these chemicals we are exposed to and hints at other sources of these chemicals in our environment," he told AFP.
Rather than being "unduly alarmed", Mellor suggested that people "demand better data and minimize unnecessary exposure to chemicals which may ultimately impact our health".
Some of the chemicals are also already facing bans.
The European Union is in the final stages of banning the use of PFAS in food packaging. The EU has also proposed a similar ban for bisphenol A from the end of this year.
The study was published in the Journal of Exposure Science and Environmental Epidemiology.