I really want to say that the N4 is better overall, but I had the N4 and personally, the N3 was a better experience (battery wise too). The Note 4 made me switch to an iPhone 6+ for a few months. Currently, I'm rocking a S6 and for the past few weeks, it's been great. Fast charge and wireless charge are good. I will say this: it's not for a power user. If you're sitting there watching all types of Netflix, say good bye to that battery.
I'm just a ball of confusion really. Samsung will make you come back to their products even after you feel like they've shat upon your face.
Moral of this story: I'll be selling my S6 for a Note 5 in a few months.