There is no search for blocked numbers. In most cases it does no good to block every SPAM number that comes in, because usually they are only used once and further calls will come from the same organization will come from a different spoofed number. It is generally only effective when you continue to get calls from a specific number.
It is usually better to check with your cellular provider as many have free spam prevention that will block most of the numbers before they even get to your phone. They are in the best position to intercept these calls and most will verify that the caller is using a legitimate number before they are even sent to you.