3189744000 has 384 divisors, whose sum is σ = 12138310080. Its totient is φ = 799948800.

The previous prime is 3189743993. The next prime is 3189744001. The reversal of 3189744000 is 4479813.

It is a happy number.

3189744000 is a `hidden beast` number, since 3 + 189 + 74 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3189744001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2447349 + ... + 2448651.

Almost surely, 2^3189744000 is an apocalyptic number.

3189744000 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 3189744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6069155040).

3189744000 is an abundant number, since it is smaller than the sum of its proper divisors (8948566080).

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

3189744000 is a wasteful number, since it uses less digits than its factorization.

3189744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3189744000 is about 56477.8186547604. The cubic root of 3189744000 is about 1472.0366051074.

The spelling of 3189744000 in words is "three billion, one hundred eighty-nine million, seven hundred forty-four thousand".