3315612096 has 224 divisors, whose sum is σ = 9988661760. Its totient is φ = 1078272000.

The previous prime is 3315612077. The next prime is 3315612109. The reversal of 3315612096 is 6902165133.

3315612096 is a `hidden beast` number, since 3 + 3 + 1 + 561 + 2 + 0 + 96 = 666.

It is a super-2 number, since 2×3315612096² = 21986567142283026432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3315612096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21957621 + ... + 21957771.

It is an arithmetic number, because the mean of its divisors is an integer number (44592240).

Almost surely, 2^3315612096 is an apocalyptic number.

3315612096 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 3315612096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994330880).

3315612096 is an abundant number, since it is smaller than the sum of its proper divisors (6673049664).

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

3315612096 is a wasteful number, since it uses less digits than its factorization.

3315612096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3315612096 is about 57581.3519813490. The cubic root of 3315612096 is about 1491.1496758761.

The spelling of 3315612096 in words is "three billion, three hundred fifteen million, six hundred twelve thousand, ninety-six".