3133116756 has 72 divisors (see below), whose sum is σ = 9874073664. Its totient is φ = 813795840.

The previous prime is 3133116743. The next prime is 3133116757. The reversal of 3133116756 is 6576113313.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3133116756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133116757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562365 + ... + 567908.

It is an arithmetic number, because the mean of its divisors is an integer number (137139912).

Almost surely, 2^3133116756 is an apocalyptic number.

3133116756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3133116756 is an abundant number, since it is smaller than the sum of its proper divisors (6740956908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3133116756 is a wasteful number, since it uses less digits than its factorization.

3133116756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130301 (or 1130296 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 3133116756 is about 55974.2508301808. The cubic root of 3133116756 is about 1463.2735635024.

The spelling of 3133116756 in words is "three billion, one hundred thirty-three million, one hundred sixteen thousand, seven hundred fifty-six".