3638574252 has 72 divisors (see below), whose sum is σ = 9798384960. Its totient is φ = 1135162080.

The previous prime is 3638574241. The next prime is 3638574281. The reversal of 3638574252 is 2524758363.

3638574252 is a `hidden beast` number, since 3 + 638 + 5 + 7 + 4 + 2 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3638574198 and 3638574207.

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, 24727 + ... + 88817.

It is an arithmetic number, because the mean of its divisors is an integer number (136088680).

Almost surely, 2^3638574252 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 3638574252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899192480).

3638574252 is an abundant number, since it is smaller than the sum of its proper divisors (6159810708).

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

3638574252 is a wasteful number, since it uses less digits than its factorization.

3638574252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64203 (or 64198 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 3638574252 is about 60320.5955872453. The cubic root of 3638574252 is about 1538.0734682502.

The spelling of 3638574252 in words is "three billion, six hundred thirty-eight million, five hundred seventy-four thousand, two hundred fifty-two".