3613100857344 has 864 divisors, whose sum is σ = 12311147394000. Its totient is φ = 1056613662720.

The previous prime is 3613100857339. The next prime is 3613100857381. The reversal of 3613100857344 is 4437580013163.

3613100857344 is a `hidden beast` number, since 3 + 6 + 1 + 31 + 0 + 0 + 8 + 573 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 3613100857344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1746301942 + ... + 1746304010.

Almost surely, 2^{3613100857344} 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 3613100857344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155573697000).

3613100857344 is an abundant number, since it is smaller than the sum of its proper divisors (8698046536656).

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

3613100857344 is a wasteful number, since it uses less digits than its factorization.

3613100857344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3613100857344 in words is "three trillion, six hundred thirteen billion, one hundred million, eight hundred fifty-seven thousand, three hundred forty-four".