So we have approximately 120W of wattage for CPU+mobo+RAM (under full load), and the only other serious power "user" would be that 4870 GPU which usually pulls 170W under full load. So, you are looking at a grand total of 290W, let's round it to 300W. And this is only the worst-case scenario, will max load on all components under stress test, very rarely could a game use all this power.
38A on +12V rail equals 456W, but if we assume that the PSU is not really top-notch and likely not brand new as well, this would likely be closer to 400W. Some headroom like this is always a good thing, because PSU won't have to work too hard, and remember that you will very rarely, if at all, hit 300W consumption.
All in all, I believe that you are OK...