3638426541156 has 81 divisors (see below), whose sum is σ = 10109595996409. Its totient is φ = 1102515348000.

The previous prime is 3638426541149. The next prime is 3638426541179. The reversal of 3638426541156 is 6511456248363.

The square root of 3638426541156 is 1907466.

It is a perfect power (a square), and thus also a powerful number.

3638426541156 is a `hidden beast` number, since 3 + 6 + 3 + 8 + 42 + 6 + 541 + 1 + 56 = 666.

3638426541156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3637922987556 + 503553600 = 1907334^2 + 22440^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 125878306 + ... + 125907206.

Almost surely, 2^{3638426541156} is an apocalyptic number.

3638426541156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3638426541156 is the 1907466-th square number.

It is an amenable number.

3638426541156 is an abundant number, since it is smaller than the sum of its proper divisors (6471169455253).

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

3638426541156 is an equidigital number, since it uses as much as digits as its factorization.

3638426541156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57834 (or 28917 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 3638426541156 in words is "three trillion, six hundred thirty-eight billion, four hundred twenty-six million, five hundred forty-one thousand, one hundred fifty-six".