3113964000 has 480 divisors, whose sum is σ = 13071554496. Its totient is φ = 711244800.

The previous prime is 3113963999. The next prime is 3113964019. The reversal of 3113964000 is 4693113.

3113964000 is a `hidden beast` number, since 3 + 1 + 13 + 9 + 640 + 0 + 0 = 666.

3113964000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2267314 + ... + 2268686.

Almost surely, 2^3113964000 is an apocalyptic number.

3113964000 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 3113964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535777248).

3113964000 is an abundant number, since it is smaller than the sum of its proper divisors (9957590496).

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

3113964000 is a wasteful number, since it uses less digits than its factorization.

3113964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3113964000 is about 55802.9031502842. The cubic root of 3113964000 is about 1460.2858013085.

The spelling of 3113964000 in words is "three billion, one hundred thirteen million, nine hundred sixty-four thousand".