3113927893440 has 4032 divisors, whose sum is σ = 15339258095616. Its totient is φ = 584130134016.

The previous prime is 3113927893423. The next prime is 3113927893471. The reversal of 3113927893440 is 443987293113.

3113927893440 is a `hidden beast` number, since 3 + 11 + 39 + 2 + 78 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 58753356454 + ... + 58753356506.

It is an arithmetic number, because the mean of its divisors is an integer number (3804379488).

Almost surely, 2^{3113927893440} is an apocalyptic number.

3113927893440 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 3113927893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7669629047808).

3113927893440 is an abundant number, since it is smaller than the sum of its proper divisors (12225330202176).

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

3113927893440 is a wasteful number, since it uses less digits than its factorization.

3113927893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3113927893440 in words is "three trillion, one hundred thirteen billion, nine hundred twenty-seven million, eight hundred ninety-three thousand, four hundred forty".