3638546880 has 112 divisors (see below), whose sum is σ = 11925141504. Its totient is φ = 938972160.

The previous prime is 3638546843. The next prime is 3638546881. The reversal of 3638546880 is 886458363.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3638546881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31372 + ... + 90891.

Almost surely, 2^3638546880 is an apocalyptic number.

3638546880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3638546880 is an abundant number, since it is smaller than the sum of its proper divisors (8286594624).

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

3638546880 is a wasteful number, since it uses less digits than its factorization.

3638546880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122314 (or 122304 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The square root of 3638546880 is about 60320.3686991384. The cubic root of 3638546880 is about 1538.0696114051.

The spelling of 3638546880 in words is "three billion, six hundred thirty-eight million, five hundred forty-six thousand, eight hundred eighty".