Another Linux kernel maintenance and security release for Bananian Linux is in the repository now: Linux kernel 4.4.14
Use aptitude/apt-get to install/upgrade ‘linux-image-4.4-bananian’
Changelog: https://cdn.kernel.org/pub/linux/kernel/v4.x/ChangeLog-4.4.14
Linux 3.4.112 (released in May 2016) is still the latest version available, no update required when using 3.4.