3630789504 has 96 divisors (see below), whose sum is σ = 10494361800. Its totient is φ = 1204890624.

The previous prime is 3630789493. The next prime is 3630789521. The reversal of 3630789504 is 4059870363.

3630789504 is a `hidden beast` number, since 3 + 63 + 0 + 7 + 89 + 504 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3630789504.

It is a congruent number.

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, 256927 + ... + 270689.

Almost surely, 2^3630789504 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 3630789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247180900).

3630789504 is an abundant number, since it is smaller than the sum of its proper divisors (6863572296).

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

3630789504 is a wasteful number, since it uses less digits than its factorization.

3630789504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14012 (or 13997 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3630789504 is about 60256.0329261726. The cubic root of 3630789504 is about 1536.9757797216.

The spelling of 3630789504 in words is "three billion, six hundred thirty million, seven hundred eighty-nine thousand, five hundred four".