We were waiting with bated breath to see how long Samsung would take to extend the rollout of the Android 4.4.2 KitKat update for the Galaxy Note 3 after its debut in a single region for each variant, and thankfully, the company has decided not to make us wait too long. Both the Exynos and Snapdragon models are receiving the update in more regions, including India, South Korea, and Switzerland, bringing the usual KitKat goodies like white status bar icons, reduced memory usage, inbuilt wireless printing support, improved keyboard, and more.
As usual, the update is rolling out both over-the-air (sized at around 380 MB) and through Kies, and it could be a while before it reaches every device (even if you're in the same region as someone else who has the update), though you can always do a manual check from the Settings » About phone » Software updates menu to try and speed things up a bit. Our firmware section is currently being updated with the new firmware, and once that's done, you'll be able to download the update and install it manually if you desire.