3638125480 has 64 divisors (see below), whose sum is σ = 8936282880. Its totient is φ = 1322016000.

The previous prime is 3638125433. The next prime is 3638125489. The reversal of 3638125480 is 845218363.

3638125480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3638125489) 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, 1032682 + ... + 1036198.

It is an arithmetic number, because the mean of its divisors is an integer number (139629420).

Almost surely, 2^3638125480 is an apocalyptic number.

It is an amenable number.

3638125480 is an abundant number, since it is smaller than the sum of its proper divisors (5298157400).

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

3638125480 is a wasteful number, since it uses less digits than its factorization.

3638125480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 3638125480 is about 60316.8755822117. The cubic root of 3638125480 is about 1538.0102316967.

The spelling of 3638125480 in words is "three billion, six hundred thirty-eight million, one hundred twenty-five thousand, four hundred eighty".