3113458560 has 640 divisors, whose sum is σ = 12218580000. Its totient is φ = 752467968.

The previous prime is 3113458547. The next prime is 3113458561. The reversal of 3113458560 is 658543113.

3113458560 is a `hidden beast` number, since 3 + 1 + 13 + 4 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113458561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28563786 + ... + 28563894.

Almost surely, 2^3113458560 is an apocalyptic number.

3113458560 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 3113458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109290000).

3113458560 is an abundant number, since it is smaller than the sum of its proper divisors (9105121440).

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

3113458560 is a wasteful number, since it uses less digits than its factorization.

3113458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3113458560 is about 55798.3741698627. The cubic root of 3113458560 is about 1460.2067887495.

The spelling of 3113458560 in words is "three billion, one hundred thirteen million, four hundred fifty-eight thousand, five hundred sixty".