3132868200 has 768 divisors, whose sum is σ = 13199155200. Its totient is φ = 595123200.

The previous prime is 3132868177. The next prime is 3132868201. The reversal of 3132868200 is 28682313.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3132868201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37745359 + ... + 37745441.

It is an arithmetic number, because the mean of its divisors is an integer number (17186400).

Almost surely, 2^3132868200 is an apocalyptic number.

3132868200 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 3132868200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

3132868200 is an abundant number, since it is smaller than the sum of its proper divisors (10066287000).

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

3132868200 is a wasteful number, since it uses less digits than its factorization.

3132868200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3132868200 is about 55972.0305152493. The cubic root of 3132868200 is about 1463.2348677381.

The spelling of 3132868200 in words is "three billion, one hundred thirty-two million, eight hundred sixty-eight thousand, two hundred".