3105080991376 has 405 divisors, whose sum is σ = 7818623549001. Its totient is φ = 1190575556352.

The previous prime is 3105080991371. The next prime is 3105080991443. The reversal of 3105080991376 is 6731990805013.

It is a happy number.

The square root of 3105080991376 is 1762124.

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

It can be written as a sum of positive squares in only one way, i.e., 459331507600 + 2645749483776 = 677740^2 + 1626576^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3105080991371) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30146417341 + ... + 30146417443.

Almost surely, 2^{3105080991376} is an apocalyptic number.

3105080991376 is the 1762124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3105080991376

3105080991376 is an abundant number, since it is smaller than the sum of its proper divisors (4713542557625).

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

3105080991376 is a wasteful number, since it uses less digits than its factorization.

3105080991376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 3105080991376 in words is "three trillion, one hundred five billion, eighty million, nine hundred ninety-one thousand, three hundred seventy-six".