3160771312400 has 120 divisors (see below), whose sum is σ = 8196780346440. Its totient is φ = 1164357918720.

The previous prime is 3160771312373. The next prime is 3160771312481. The reversal of 3160771312400 is 42131770613.

It can be written as a sum of positive squares in 12 ways, for example, as 2916403231504 + 244368080896 = 1707748^2 + 494336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1549706 + ... + 2953494.

It is an arithmetic number, because the mean of its divisors is an integer number (68306502887).

Almost surely, 2^{3160771312400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3160771312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098390173220).

3160771312400 is an abundant number, since it is smaller than the sum of its proper divisors (5036009034040).

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

3160771312400 is a wasteful number, since it uses less digits than its factorization.

3160771312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404253 (or 1404242 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 3160771312400 in words is "three trillion, one hundred sixty billion, seven hundred seventy-one million, three hundred twelve thousand, four hundred".