3638060316900 has 135 divisors (see below), whose sum is σ = 11793710779851. Its totient is φ = 970103640960.

The previous prime is 3638060316857. The next prime is 3638060316929. The reversal of 3638060316900 is 96130608363.

The square root of 3638060316900 is 1907370.

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

3638060316900 is a `hidden beast` number, since 3 + 6 + 38 + 0 + 603 + 1 + 6 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1663001101476 + 1975059215424 = 1289574^2 + 1405368^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×3638060316900² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 171652704 + ... + 171673896.

Almost surely, 2^{3638060316900} is an apocalyptic number.

3638060316900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3638060316900 is the 1907370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3638060316900

3638060316900 is an abundant number, since it is smaller than the sum of its proper divisors (8155650462951).

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

3638060316900 is an frugal number, since it uses more digits than its factorization.

3638060316900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42412 (or 21203 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 3638060316900 in words is "three trillion, six hundred thirty-eight billion, sixty million, three hundred sixteen thousand, nine hundred".