It was a few days ago Samsung began pushing out Android 4.4.2 to the international Galaxy Note 3 Snapdragon variant (SM-N9005). Today, the update is now hitting the Exynos-powered versions of the Note (SM-N900), beginning in Russia. Aside from the usual KitKat changes (like now white status bar icons), the update is said to bring updated Samsung keyboard apps, camera lockscreen shortcut, and a nice performance boost as well.
Like any other software update, it will need to be approved by the appropriate carriers, so don’t be bummed if your Note 3 hasn’t received the update just yet, rest assured it’s on its way. You can manually check for an update by jumping into your Settings app > More > About device > Software update > update. As a bonus, the kernel source was also provided, but wont matter much to you unless you’re a developer.