3795180456960 has 528 divisors, whose sum is σ = 13893177324000. Its totient is φ = 955260076032.

The previous prime is 3795180456943. The next prime is 3795180457031. The reversal of 3795180456960 is 696540815973.

3795180456960 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 1 + 8 + 0 + 4 + 569 + 60 = 666.

It is a super-2 number, since 2×3795180456960² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242511216 + ... + 242526864.

Almost surely, 2^{3795180456960} is an apocalyptic number.

3795180456960 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 3795180456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946588662000).

3795180456960 is an abundant number, since it is smaller than the sum of its proper divisors (10097996867040).

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

3795180456960 is a wasteful number, since it uses less digits than its factorization.

3795180456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15976 (or 15955 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 3795180456960 in words is "three trillion, seven hundred ninety-five billion, one hundred eighty million, four hundred fifty-six thousand, nine hundred sixty".