3115828320 has 96 divisors (see below), whose sum is σ = 10707137280. Its totient is φ = 755351040.

The previous prime is 3115828307. The next prime is 3115828327. The reversal of 3115828320 is 238285113.

3115828320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3115828320² = 19416772239428044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115828327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289780 + ... + 300339.

It is an arithmetic number, because the mean of its divisors is an integer number (111532680).

Almost surely, 2^3115828320 is an apocalyptic number.

3115828320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3115828320 is an abundant number, since it is smaller than the sum of its proper divisors (7591308960).

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

3115828320 is a wasteful number, since it uses less digits than its factorization.

3115828320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590148 (or 590140 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 3115828320 is about 55819.6051580446. The cubic root of 3115828320 is about 1460.5771659379.

The spelling of 3115828320 in words is "three billion, one hundred fifteen million, eight hundred twenty-eight thousand, three hundred twenty".