3113948736 has 168 divisors, whose sum is σ = 9148389120. Its totient is φ = 1012414464.

The previous prime is 3113948707. The next prime is 3113948753. The reversal of 3113948736 is 6378493113.

3113948736 is a `hidden beast` number, since 3 + 1 + 139 + 487 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3113948691 and 3113948700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4330585 + ... + 4331303.

Almost surely, 2^3113948736 is an apocalyptic number.

3113948736 is a gapful number since it is divisible by the number (36) 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 3113948736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574194560).

3113948736 is an abundant number, since it is smaller than the sum of its proper divisors (6034440384).

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

3113948736 is a wasteful number, since it uses less digits than its factorization.

3113948736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 900 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3113948736 is about 55802.7663830388. The cubic root of 3113948736 is about 1460.2834152995.

The spelling of 3113948736 in words is "three billion, one hundred thirteen million, nine hundred forty-eight thousand, seven hundred thirty-six".