3132133876704 has 96 divisors (see below), whose sum is σ = 9400921157376. Its totient is φ = 894464962560.

The previous prime is 3132133876699. The next prime is 3132133876709. The reversal of 3132133876704 is 4076783312313.

It is an interprime number because it is at equal distance from previous prime (3132133876699) and next prime (3132133876709).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132133876709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278559 + ... + 2518305.

It is an arithmetic number, because the mean of its divisors is an integer number (97926262056).

Almost surely, 2^{3132133876704} is an apocalyptic number.

It is an amenable number.

3132133876704 is an abundant number, since it is smaller than the sum of its proper divisors (6268787280672).

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

3132133876704 is a wasteful number, since it uses less digits than its factorization.

3132133876704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241848 (or 2241840 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 3132133876704 in words is "three trillion, one hundred thirty-two billion, one hundred thirty-three million, eight hundred seventy-six thousand, seven hundred four".