3080117145600 has 2184 divisors, whose sum is σ = 13001990271744. Its totient is φ = 722608128000.

The previous prime is 3080117145587. The next prime is 3080117145667. The reversal of 3080117145600 is 65417110803.

3080117145600 is a `hidden beast` number, since 3 + 0 + 8 + 0 + 1 + 1 + 7 + 1 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 99358617585 + ... + 99358617615.

Almost surely, 2^{3080117145600} is an apocalyptic number.

3080117145600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3080117145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500995135872).

3080117145600 is an abundant number, since it is smaller than the sum of its proper divisors (9921873126144).

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

3080117145600 is an frugal number, since it uses more digits than its factorization.

3080117145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 3080117145600 in words is "three trillion, eighty billion, one hundred seventeen million, one hundred forty-five thousand, six hundred".