For most cases on the 3600, you need a separate cooler to get longer life from the CPU. I was getting warnings when playing some games with the stock cooler. Good thing they only cost about $30.
The downside is that there is evidence that such high temperatures increase electron migration (or something similar) in the chips themselves, leading to not infinite lifetimes. I want this computer to last 10 years, so I bought an aftermarket CPU cooler for $30 to keep temps closer to 50 degrees
Of course, if you do something like not attaching the heatsink at all, it's plausible that heat could spike fast enough to cook the chip before throttling or overtemp protection can kick in/shut the system off.