Apple released the first beta version of iOS 9.3 on March 21st. iOS 9.3 is the biggest dot update for iOS, and includes a number of new features such as Night Shift, ability to protect notes with a password or Touch ID, revamped News app, support for Apple Music in CarPlay, information about the data usage while using Wi-Fi assist, updated health app and lots more.
Apple released iOS 9.3.1 on March 31st to fix an issue that caused apps to be unresponsive after tapping on links in Safari and other apps.
Apple then followed it up by releasing iOS 9.3.2 with bug fixes and security improvements.
iOS 9.3.2, iOS 9.3.1 and iOS 9.3 cannot be jailbroken. Check the iOS 9.3.2, iOS 9.3.1, iOS 9.3 Jailbreak page for the latest updates.