That was done on our floor a few years back with a few nurses. One of the hospital problems was diferential to pay like should the 3a-3p person get night shift for 4 hrs or the whole thing and when did the 3p persons pay change from evenings to nights.
With the 3a shift I'd have to get up at 1a to take a shower and leave the house about 2 (really a little later since there's not traffic then) but that would make bedtime by 7pm. So if the kids get out of school at 3 and dinner that's all there is. If you work 3p-3a if you have kids you don't see them after school then get home around 4am maybe sleep 3 hrs then get up to get kids ready (if you have them)then go back to bed 3 more hours. Maybe not bad if you don't have other obligations.