3133937664 has 576 divisors, whose sum is σ = 11268784800. Its totient is φ = 825753600.

The previous prime is 3133937621. The next prime is 3133937671. The reversal of 3133937664 is 4667393313.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76437484 + ... + 76437524.

Almost surely, 2^3133937664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634392400).

3133937664 is an abundant number, since it is smaller than the sum of its proper divisors (8134847136).

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

3133937664 is a wasteful number, since it uses less digits than its factorization.

3133937664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

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

The square root of 3133937664 is about 55981.5832573535. The cubic root of 3133937664 is about 1463.4013497903.

The spelling of 3133937664 in words is "three billion, one hundred thirty-three million, nine hundred thirty-seven thousand, six hundred sixty-four".