3638880520 has 64 divisors (see below), whose sum is σ = 9020341440. Its totient is φ = 1310112000.

The previous prime is 3638880499. The next prime is 3638880521. The reversal of 3638880520 is 250888363.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3638880521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3499 + ... + 85381.

It is an arithmetic number, because the mean of its divisors is an integer number (140942835).

Almost surely, 2^3638880520 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 3638880520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510170720).

3638880520 is an abundant number, since it is smaller than the sum of its proper divisors (5381460920).

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

3638880520 is a wasteful number, since it uses less digits than its factorization.

3638880520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82006 (or 82002 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 3638880520 is about 60323.1342023937. The cubic root of 3638880520 is about 1538.1166215511.

The spelling of 3638880520 in words is "three billion, six hundred thirty-eight million, eight hundred eighty thousand, five hundred twenty".