358 is the sum of 6 consecutive primes: 47 + 53 + 59 + 61 + 67 + 71
359 is a prime and safe prime which is a prime number of the form 2p+1 where p is a prime number (in this case 179)
360 is the number of degrees in a circle, features in the name of Microsoft's games console, is a skateboarding/snowboarding trick and the Rickenbacker 360 is a guitar made famous by the Beatles.