This is the latest stable Qubes OS release. We recommend this release for all new and existing users. Please note that 3.2 will be supported for one full year after the release of 4.0 (instead of the usual six months). See here for details.
The Live USB edition is no longer supported or maintained. Users who wish to install Qubes while preserving the contents of their internal drives are instead advised to install the latest stable release on an external drive, such as a USB flash drive or an external SSD or HDD.