3117904441344 has 1560 divisors, whose sum is σ = 12093520564224. Its totient is φ = 777550233600.

The previous prime is 3117904441339. The next prime is 3117904441369. The reversal of 3117904441344 is 4431444097113.

3117904441344 is a `hidden beast` number, since 3 + 1 + 1 + 79 + 0 + 444 + 134 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3117904441344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24550428609 + ... + 24550428735.

Almost surely, 2^{3117904441344} 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 3117904441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046760282112).

3117904441344 is an abundant number, since it is smaller than the sum of its proper divisors (8975616122880).

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

3117904441344 is a wasteful number, since it uses less digits than its factorization.

3117904441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3117904441344 in words is "three trillion, one hundred seventeen billion, nine hundred four million, four hundred forty-one thousand, three hundred forty-four".