3630374900 has 72 divisors (see below), whose sum is σ = 8024548896. Its totient is φ = 1425283200.

The previous prime is 3630374887. The next prime is 3630374921. The reversal of 3630374900 is 94730363.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2216882 + ... + 2218518.

It is an arithmetic number, because the mean of its divisors is an integer number (111452068).

Almost surely, 2^3630374900 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 3630374900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012274448).

3630374900 is an abundant number, since it is smaller than the sum of its proper divisors (4394173996).

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

3630374900 is a wasteful number, since it uses less digits than its factorization.

3630374900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 35.

The square root of 3630374900 is about 60252.5924753450. The cubic root of 3630374900 is about 1536.9172744880.

The spelling of 3630374900 in words is "three billion, six hundred thirty million, three hundred seventy-four thousand, nine hundred".