3130228800 has 504 divisors, whose sum is σ = 11797015776. Its totient is φ = 816168960.

The previous prime is 3130228799. The next prime is 3130228859. The reversal of 3130228800 is 88220313.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32270352 + ... + 32270448.

Almost surely, 2^3130228800 is an apocalyptic number.

3130228800 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 3130228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898507888).

3130228800 is an abundant number, since it is smaller than the sum of its proper divisors (8666786976).

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

3130228800 is an equidigital number, since it uses as much as digits as its factorization.

3130228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3130228800 is about 55948.4476996458. The cubic root of 3130228800 is about 1462.8238336154.

The spelling of 3130228800 in words is "three billion, one hundred thirty million, two hundred twenty-eight thousand, eight hundred".