This board can handle a FX8370E just fine. I run it Overclocked, @ 4.1GHz @ 1,31v or 4.3ghz @ 1,37v if i want extra performance, with a FSB@210 with RAM overclock @ 1959mhz 2x8GB Crucial 1,5V DDR3 @ 1,65v CL12.
NB/HTlink @ 2310mhz minimum or auto, and sometimes OC to 2520mhz. I can prove this, here's my score in CPU-Z
http://valid.x86.fr/yjcrmy
Paired with RX470 Nitro+ 4GB @ 1350mhz - Gaming (real world experience) is almost identical with i5-2500k stock performance, in smoothness even thanks to fast ram, i can achieve 144fps with low settings, and my GPU is up to a RX470 4GB @ 1350Mhz which, at 1330+mhz is around R9 390 performance and always hits around 99% usage.
The board supports power draw on CPU line up to over 175w (205 is approx. max) with 80-90c TDP VRM, and has heatsinks+solid caps.
Chances are you will very easily get 4GHz even on a fullfat FX8370 with normal stability, but do not OC then.
I achieved 4,4ghz @ 1,43v so 4,5 even on a PGS batch fx8370e is probably undoable.
Still this is the cheapest am3+ board and most stablest micro-atx released AFAIK even in 2017. Its not fastest but it will do the job.
FX8370E is perfect for this board.