Memory safety for one. C is very memory unsafe and that has been the source of a great, great number of software vulnerabilities over the years. Basically, in many C programs it has been possible to force them to execute arbitrary code, and if a program is running with root privileges, an attacker can gain full control over a system by injecting the right input.
I have very limited knowledge of rust, but from what I remember writing memory unsafe programs is nigh impossible as the code won’t really even compile. Someone else with more knowledge can probably give more detail.
Do you listen to The Grey Area?