3133397664 has 72 divisors (see below), whose sum is σ = 9198064512. Its totient is φ = 1010770560.

The previous prime is 3133397647. The next prime is 3133397681. The reversal of 3133397664 is 4667933313.

3133397664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3133397647) and next prime (3133397681).

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166554 + ... + 184409.

It is an arithmetic number, because the mean of its divisors is an integer number (127750896).

Almost surely, 2^3133397664 is an apocalyptic number.

It is an amenable number.

3133397664 is an abundant number, since it is smaller than the sum of its proper divisors (6064666848).

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

3133397664 is a wasteful number, since it uses less digits than its factorization.

3133397664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351010 (or 350999 counting only the distinct ones).

The product of its digits is 734832, while the sum is 45.

The square root of 3133397664 is about 55976.7600348573. The cubic root of 3133397664 is about 1463.3172934363.

The spelling of 3133397664 in words is "three billion, one hundred thirty-three million, three hundred ninety-seven thousand, six hundred sixty-four".