3113478720 has 336 divisors, whose sum is σ = 12193414272. Its totient is φ = 721797120.

The previous prime is 3113478713. The next prime is 3113478721. The reversal of 3113478720 is 278743113.

3113478720 is a `hidden beast` number, since 3 + 113 + 478 + 72 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3113478721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726504 + ... + 730776.

Almost surely, 2^3113478720 is an apocalyptic number.

3113478720 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 3113478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096707136).

3113478720 is an abundant number, since it is smaller than the sum of its proper divisors (9079935552).

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

3113478720 is a wasteful number, since it uses less digits than its factorization.

3113478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3113478720 is about 55798.5548199951. The cubic root of 3113478720 is about 1460.2099404113.

The spelling of 3113478720 in words is "three billion, one hundred thirteen million, four hundred seventy-eight thousand, seven hundred twenty".