3132013200 has 120 divisors (see below), whose sum is σ = 10561005600. Its totient is φ = 791239680.

The previous prime is 3132013193. The next prime is 3132013211. The reversal of 3132013200 is 23102313.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3132013200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45885 + ... + 91484.

It is an arithmetic number, because the mean of its divisors is an integer number (88008380).

Almost surely, 2^3132013200 is an apocalyptic number.

3132013200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3132013200 is an abundant number, since it is smaller than the sum of its proper divisors (7428992400).

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

3132013200 is a wasteful number, since it uses less digits than its factorization.

3132013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137409 (or 137398 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3132013200 is about 55964.3922507875. The cubic root of 3132013200 is about 1463.1017437593.

Adding to 3132013200 its reverse (23102313), we get a palindrome (3155115513).

The spelling of 3132013200 in words is "three billion, one hundred thirty-two million, thirteen thousand, two hundred".