3115132800 has 384 divisors, whose sum is σ = 11199804000. Its totient is φ = 756449280.

The previous prime is 3115132793. The next prime is 3115132841. The reversal of 3115132800 is 82315113.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13603086 + ... + 13603314.

Almost surely, 2^3115132800 is an apocalyptic number.

3115132800 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 3115132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599902000).

3115132800 is an abundant number, since it is smaller than the sum of its proper divisors (8084671200).

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

3115132800 is a wasteful number, since it uses less digits than its factorization.

3115132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 3115132800 is about 55813.3747411855. The cubic root of 3115132800 is about 1460.4684804218.

Adding to 3115132800 its reverse (82315113), we get a palindrome (3197447913).

The spelling of 3115132800 in words is "three billion, one hundred fifteen million, one hundred thirty-two thousand, eight hundred".