3121186489344 has 891 divisors, whose sum is σ = 11571892901751. Its totient is φ = 807305748480.

The previous prime is 3121186489321. The next prime is 3121186489357. The reversal of 3121186489344 is 4439846811213.

The square root of 3121186489344 is 1766688.

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

3121186489344 is a `hidden beast` number, since 3 + 1 + 2 + 118 + 6 + 489 + 3 + 44 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 13059357577 + ... + 13059357815.

Almost surely, 2^{3121186489344} is an apocalyptic number.

3121186489344 is the 1766688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121186489344

3121186489344 is an abundant number, since it is smaller than the sum of its proper divisors (8450706412407).

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

3121186489344 is a wasteful number, since it uses less digits than its factorization.

3121186489344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 262 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 3121186489344 in words is "three trillion, one hundred twenty-one billion, one hundred eighty-six million, four hundred eighty-nine thousand, three hundred forty-four".