3115200 has 168 divisors, whose sum is σ = 11338560. Its totient is φ = 742400.

The previous prime is 3115193. The next prime is 3115201. The reversal of 3115200 is 25113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3115201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52771 + ... + 52829.

Almost surely, 2^3115200 is an apocalyptic number.

3115200 is a gapful number since it is divisible by the number (30) 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 3115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669280).

3115200 is an abundant number, since it is smaller than the sum of its proper divisors (8223360).

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

3115200 is a wasteful number, since it uses less digits than its factorization.

3115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 3115200 is about 1764.9929178328. The cubic root of 3115200 is about 146.0478982144.

The spelling of 3115200 in words is "three million, one hundred fifteen thousand, two hundred".