3189422800 has 120 divisors (see below), whose sum is σ = 7885120320. Its totient is φ = 1239014400.

The previous prime is 3189422791. The next prime is 3189422837. The reversal of 3189422800 is 82249813.

It is a self number, because there is not a number n which added to its sum of digits gives 3189422800.

It is a congruent number.

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, 7199379 + ... + 7199821.

It is an arithmetic number, because the mean of its divisors is an integer number (65709336).

Almost surely, 2^3189422800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3189422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942560160).

3189422800 is an abundant number, since it is smaller than the sum of its proper divisors (4695697520).

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

3189422800 is a wasteful number, since it uses less digits than its factorization.

3189422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 3189422800 is about 56474.9749889276. The cubic root of 3189422800 is about 1471.9871931975.

The spelling of 3189422800 in words is "three billion, one hundred eighty-nine million, four hundred twenty-two thousand, eight hundred".