One of the features of the Galaxy Note 3 was that it's camera can capture 4k video. That has a 8.3 mega pixel resolution of 3840 x 2160. That's huge!
Anyway, after I got my phone, I only saw full HD as an option for recording video, and it's not a mistake. You see, there are two versions of the Note 3 - the one I've got has the 1.9Ghz Samsung Exynos 5 Octa 5420 3G processor, and the other one has the 2.3Ghz Qualcomm Snapdragon 800 LTE one.
That probably means I don't have LTE either, but to be honest, I'm not missing it, or the 4k recording. My phone is blazingly fast, and pretty much anything I throw at it, it handles without breaking a sweat.
I've also read that even in some countries, the 4k feature is also missing on the Snapdragon version.
I only think that once 4k TV's become mainstream then this might be something you'd want, but here in South Africa we're not even close to having affordable 4k TV's.
Anyway, bottom line, my Galaxy Note 3 is awesome, I'll never go down to a smaller phone again. And I still use the stylus! :)