34 days without booting? Are you using a Debian system and don’t update often? You should, for security patches at least. I’m on an Arch based system and update every day. Sometimes there are updates that require a reboot, so all services are up to date. My system is often up for a few days, sometimes even for a week.

Small tip, logging out and in will have a semi clean environment without a full boot. That means the uptime won’t reset.