3113537328 has 240 divisors, whose sum is σ = 9897937920. Its totient is φ = 905126400.

The previous prime is 3113537291. The next prime is 3113537333. The reversal of 3113537328 is 8237353113.

3113537328 is a `hidden beast` number, since 3 + 113 + 537 + 3 + 2 + 8 = 666.

3113537328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3113537328² = 19388229385698759168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3113537292 and 3113537301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8003758 + ... + 8004146.

It is an arithmetic number, because the mean of its divisors is an integer number (41241408).

Almost surely, 2^3113537328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113537328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948968960).

3113537328 is an abundant number, since it is smaller than the sum of its proper divisors (6784400592).

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

3113537328 is a wasteful number, since it uses less digits than its factorization.

3113537328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3113537328 is about 55799.0799924156. The cubic root of 3113537328 is about 1460.2191026652.

The spelling of 3113537328 in words is "three billion, one hundred thirteen million, five hundred thirty-seven thousand, three hundred twenty-eight".