3251135664 has 320 divisors, whose sum is σ = 11173888000. Its totient is φ = 885530880.

The previous prime is 3251135627. The next prime is 3251135669. The reversal of 3251135664 is 4665311523.

3251135664 is a `hidden beast` number, since 32 + 51 + 13 + 566 + 4 = 666.

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 (3251135669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7405557 + ... + 7405995.

It is an arithmetic number, because the mean of its divisors is an integer number (34918400).

Almost surely, 2^3251135664 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 3251135664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586944000).

3251135664 is an abundant number, since it is smaller than the sum of its proper divisors (7922752336).

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

3251135664 is a wasteful number, since it uses less digits than its factorization.

3251135664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 561 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 3251135664 is about 57018.7308171622. The cubic root of 3251135664 is about 1481.4205474514.

The spelling of 3251135664 in words is "three billion, two hundred fifty-one million, one hundred thirty-five thousand, six hundred sixty-four".