3638581858400 has 72 divisors (see below), whose sum is σ = 8884028588904. Its totient is φ = 1455213081600.

The previous prime is 3638581858349. The next prime is 3638581858409. The reversal of 3638581858400 is 48581858363.

It is a self number, because there is not a number n which added to its sum of digits gives 3638581858400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3638581858409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5012924 + ... + 5692676.

It is an arithmetic number, because the mean of its divisors is an integer number (123389285957).

Almost surely, 2^{3638581858400} is an apocalyptic number.

It is an amenable number.

3638581858400 is an abundant number, since it is smaller than the sum of its proper divisors (5245446730504).

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

3638581858400 is a wasteful number, since it uses less digits than its factorization.

3638581858400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686464 (or 686451 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 59.

The spelling of 3638581858400 in words is "three trillion, six hundred thirty-eight billion, five hundred eighty-one million, eight hundred fifty-eight thousand, four hundred".