3084418656 has 576 divisors, whose sum is σ = 11060582400. Its totient is φ = 827366400.

The previous prime is 3084418619. The next prime is 3084418721. The reversal of 3084418656 is 6568144803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99497361 + ... + 99497391.

It is an arithmetic number, because the mean of its divisors is an integer number (19202400).

Almost surely, 2^3084418656 is an apocalyptic number.

3084418656 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 3084418656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530291200).

3084418656 is an abundant number, since it is smaller than the sum of its proper divisors (7976163744).

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

3084418656 is a wasteful number, since it uses less digits than its factorization.

3084418656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3084418656 is about 55537.5427616311. The cubic root of 3084418656 is about 1455.6527117204.

The spelling of 3084418656 in words is "three billion, eighty-four million, four hundred eighteen thousand, six hundred fifty-six".