3189009600 has 504 divisors, whose sum is σ = 13723059168. Its totient is φ = 685670400.

The previous prime is 3189009589. The next prime is 3189009611. The reversal of 3189009600 is 69009813.

It is an interprime number because it is at equal distance from previous prime (3189009589) and next prime (3189009611).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1712670 + ... + 1714530.

It is an arithmetic number, because the mean of its divisors is an integer number (27228292).

Almost surely, 2^3189009600 is an apocalyptic number.

3189009600 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 3189009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861529584).

3189009600 is an abundant number, since it is smaller than the sum of its proper divisors (10534049568).

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

3189009600 is a wasteful number, since it uses less digits than its factorization.

3189009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3189009600 is about 56471.3166129496. The cubic root of 3189009600 is about 1471.9236235577.

The spelling of 3189009600 in words is "three billion, one hundred eighty-nine million, nine thousand, six hundred".