3131667072 has 48 divisors (see below), whose sum is σ = 9011701530. Its totient is φ = 1043888640.

The previous prime is 3131667047. The next prime is 3131667073. The reversal of 3131667072 is 2707661313.

It can be written as a sum of positive squares in only one way, i.e., 2887557696 + 244109376 = 53736^2 + 15624^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (3131667073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1358079 + ... + 1360382.

Almost surely, 2^3131667072 is an apocalyptic number.

3131667072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3131667072 is an abundant number, since it is smaller than the sum of its proper divisors (5880034458).

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

3131667072 is a wasteful number, since it uses less digits than its factorization.

3131667072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718481 (or 2718466 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3131667072 is about 55961.2997704664. The cubic root of 3131667072 is about 1463.0478445466.

The spelling of 3131667072 in words is "three billion, one hundred thirty-one million, six hundred sixty-seven thousand, seventy-two".