I've been experiencing instability with my system, and I'm beginning to suspect that the PSU is either faulty or under-provisioned. I'll get random crashes (reboots, more specifically), mostly when doing something intensive on the system like starting up a game. Looking at all the crash logs, I can't really find any errors that make sense to me. When the system goes down, all the lights & fans all die at the same time as the screen, then after a couple of seconds it comes back on and reboots.

I have a Corsair SF600 SFX PSU which is only 600W, and I'm powering a Ryzen 3700x, a AMD 5700XT GPU, a 1TB M.2 SSD, 32G ddr4 memory, 2 case fans, and a water-cooling pump. Plugging all of that into a calculator says that 600W is exactly enough, but is that right? Or could power-usage spikes be pushing things over the edge?

Edit: Sorry, CPU is a 3800X not 3700X. Just FYI