3632633120 has 96 divisors (see below), whose sum is σ = 8817621120. Its totient is φ = 1413457920.

The previous prime is 3632633113. The next prime is 3632633141. The reversal of 3632633120 is 213362363.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1932341 + ... + 1934219.

It is an arithmetic number, because the mean of its divisors is an integer number (91850220).

Almost surely, 2^3632633120 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 3632633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408810560).

3632633120 is an abundant number, since it is smaller than the sum of its proper divisors (5184988000).

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

3632633120 is a wasteful number, since it uses less digits than its factorization.

3632633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

The square root of 3632633120 is about 60271.3291706762. The cubic root of 3632633120 is about 1537.2358805127.

Adding to 3632633120 its reverse (213362363), we get a palindrome (3845995483).

The spelling of 3632633120 in words is "three billion, six hundred thirty-two million, six hundred thirty-three thousand, one hundred twenty".