gaming and streaming. 1080p streaming possibly 4k
6400 here is some benchmarks on the 7350k https://youtu.be/zqihmsDj9Uo
As well as motherboards are cheaper don't need Z170/270 for 6400 unlike the 7350k
Don't need a cooler for the 6400 stock runs fine unlike the 7350k
if it retailed for $110-120 it would break even but at its price no
i5. With the 7350k you lose the option to use Intel QuickSync to stream since you'll have to disable the integrated graphics to overclock.
The i5-6400 is better, both for your money and for all-around handling. IMHO, the i3-7350K is just a cash grab from Intel. It needs a more expensive motherboard than the i5, which drives up its price, and even after overclocking it's not definitively better overall.
Fx series looked on par with the 7350k and I'm pretty sure the fx 8370 was stock lol so much for budget chip from Intel lol
The 7350k also doesn't come with a cooler as its a "K" model so have to figure that in.