3115584320 has 112 divisors (see below), whose sum is σ = 7721730048. Its totient is φ = 1196052480.

The previous prime is 3115584293. The next prime is 3115584323. The reversal of 3115584320 is 234855113.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115584323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258604 + ... + 1261076.

Almost surely, 2^3115584320 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 3115584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860865024).

3115584320 is an abundant number, since it is smaller than the sum of its proper divisors (4606145728).

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

3115584320 is a wasteful number, since it uses less digits than its factorization.

3115584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 3115584320 is about 55817.4195032339. The cubic root of 3115584320 is about 1460.5390390906.

The spelling of 3115584320 in words is "three billion, one hundred fifteen million, five hundred eighty-four thousand, three hundred twenty".