3126883200 has 768 divisors, whose sum is σ = 12951552000. Its totient is φ = 646963200.

The previous prime is 3126883103. The next prime is 3126883213. The reversal of 3126883200 is 23886213.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 39580761 + ... + 39580839.

It is an arithmetic number, because the mean of its divisors is an integer number (16864000).

Almost surely, 2^3126883200 is an apocalyptic number.

3126883200 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 3126883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6475776000).

3126883200 is an abundant number, since it is smaller than the sum of its proper divisors (9824668800).

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

3126883200 is a wasteful number, since it uses less digits than its factorization.

3126883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

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

The square root of 3126883200 is about 55918.5407534925. The cubic root of 3126883200 is about 1462.3024906774.

The spelling of 3126883200 in words is "three billion, one hundred twenty-six million, eight hundred eighty-three thousand, two hundred".