3113639424000 has 1248 divisors, whose sum is σ = 12993529296384. Its totient is φ = 702509875200.

The previous prime is 3113639423963. The next prime is 3113639424011. The reversal of 3113639424000 is 4249363113.

3113639424000 is a `hidden beast` number, since 3 + 1 + 13 + 639 + 4 + 2 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 2677247419 + ... + 2677248581.

It is an arithmetic number, because the mean of its divisors is an integer number (10411481808).

Almost surely, 2^{3113639424000} is an apocalyptic number.

3113639424000 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 3113639424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496764648192).

3113639424000 is an abundant number, since it is smaller than the sum of its proper divisors (9879889872384).

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

3113639424000 is a wasteful number, since it uses less digits than its factorization.

3113639424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 3113639424000 in words is "three trillion, one hundred thirteen billion, six hundred thirty-nine million, four hundred twenty-four thousand".