3631788864 has 252 divisors, whose sum is σ = 11572902432. Its totient is φ = 1088017920.

The previous prime is 3631788859. The next prime is 3631788893. The reversal of 3631788864 is 4688871363.

It is a self number, because there is not a number n which added to its sum of digits gives 3631788864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7457229 + ... + 7457715.

It is an arithmetic number, because the mean of its divisors is an integer number (45924216).

Almost surely, 2^3631788864 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 3631788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786451216).

3631788864 is an abundant number, since it is smaller than the sum of its proper divisors (7941113568).

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

3631788864 is a wasteful number, since it uses less digits than its factorization.

3631788864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 610 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 3631788864 is about 60264.3249692552. The cubic root of 3631788864 is about 1537.1167822234.

The spelling of 3631788864 in words is "three billion, six hundred thirty-one million, seven hundred eighty-eight thousand, eight hundred sixty-four".