3116439438336 has 891 divisors, whose sum is σ = 10912039786557. Its totient is φ = 854144040960.

The previous prime is 3116439438319. The next prime is 3116439438341. The reversal of 3116439438336 is 6338349346113.

The square root of 3116439438336 is 1765344.

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

3116439438336 is a `hidden beast` number, since 31 + 164 + 3 + 94 + 38 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2788632806400 + 327806631936 = 1669920^2 + 572544^2 .

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

Its product of digits (10077696) is a multiple of the sum of its prime factors (256).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43893513181 + ... + 43893513251.

Almost surely, 2^{3116439438336} is an apocalyptic number.

3116439438336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3116439438336 is the 1765344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3116439438336

3116439438336 is an abundant number, since it is smaller than the sum of its proper divisors (7795600348221).

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

3116439438336 is an equidigital number, since it uses as much as digits as its factorization.

3116439438336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 120 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 3116439438336 in words is "three trillion, one hundred sixteen billion, four hundred thirty-nine million, four hundred thirty-eight thousand, three hundred thirty-six".