3115557984 has 288 divisors, whose sum is σ = 10928131200. Its totient is φ = 766402560.

The previous prime is 3115557983. The next prime is 3115558007. The reversal of 3115557984 is 4897555113.

It is a super-2 number, since 2×3115557984² = 19413403103332288512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115557983) 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, 981552 + ... + 984720.

It is an arithmetic number, because the mean of its divisors is an integer number (37944900).

Almost surely, 2^3115557984 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 3115557984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464065600).

3115557984 is an abundant number, since it is smaller than the sum of its proper divisors (7812573216).

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

3115557984 is a wasteful number, since it uses less digits than its factorization.

3115557984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3211 counting only the distinct ones).

The product of its digits is 756000, while the sum is 48.

The square root of 3115557984 is about 55817.1835907187. The cubic root of 3115557984 is about 1460.5349237722.

The spelling of 3115557984 in words is "three billion, one hundred fifteen million, five hundred fifty-seven thousand, nine hundred eighty-four".