3130180800 has 84 divisors (see below), whose sum is σ = 10269617256. Its totient is φ = 834713600.

The previous prime is 3130180799. The next prime is 3130180813. The reversal of 3130180800 is 80810313.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 321261 + ... + 330860.

Almost surely, 2^3130180800 is an apocalyptic number.

3130180800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3130180800 is an abundant number, since it is smaller than the sum of its proper divisors (7139436456).

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

3130180800 is a wasteful number, since it uses less digits than its factorization.

3130180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652146 (or 652131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 3130180800 is about 55948.0187316763. The cubic root of 3130180800 is about 1462.8163564300.

It can be divided in two parts, 31301 and 80800, that added together give a triangular number (112101 = T₄₇₃).

The spelling of 3130180800 in words is "three billion, one hundred thirty million, one hundred eighty thousand, eight hundred".