3189688840900 has 27 divisors (see below), whose sum is σ = 6921663540519. Its totient is φ = 1275868392480.

The previous prime is 3189688840883. The next prime is 3189688840909. The reversal of 3189688840900 is 90488869813.

The square root of 3189688840900 is 1785970.

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

It can be written as a sum of positive squares in 4 ways, for example, as 427551207876 + 2762137633024 = 653874^2 + 1661968^2 .

It is a super-2 number, since 2×3189688840900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3189688840909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17770402 + ... + 17948998.

Almost surely, 2^{3189688840900} is an apocalyptic number.

3189688840900 is the 1785970-th square number.

It is an amenable number.

3189688840900 is an abundant number, since it is smaller than the sum of its proper divisors (3731974699619).

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

3189688840900 is an frugal number, since it uses more digits than its factorization.

3189688840900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357208 (or 178604 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 64.

Multiplying 3189688840900 by its sum of digits (64), we get a square (204140085817600 = 14287760²).

The spelling of 3189688840900 in words is "three trillion, one hundred eighty-nine billion, six hundred eighty-eight million, eight hundred forty thousand, nine hundred".