3105938946880 has 336 divisors, whose sum is σ = 9397692964800. Its totient is φ = 966844784640.

The previous prime is 3105938946827. The next prime is 3105938946893. The reversal of 3105938946880 is 886498395013.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

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, 139525191 + ... + 139547449.

It is an arithmetic number, because the mean of its divisors is an integer number (27969324300).

Almost surely, 2^{3105938946880} 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 3105938946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698846482400).

3105938946880 is an abundant number, since it is smaller than the sum of its proper divisors (6291754017920).

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

3105938946880 is a wasteful number, since it uses less digits than its factorization.

3105938946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23110 (or 23093 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 64.

The spelling of 3105938946880 in words is "three trillion, one hundred five billion, nine hundred thirty-eight million, nine hundred forty-six thousand, eight hundred eighty".