3189784752 has 640 divisors, whose sum is σ = 12380160000. Its totient is φ = 777288960.

The previous prime is 3189784751. The next prime is 3189784757. The reversal of 3189784752 is 2574879813.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3189784751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30968733 + ... + 30968835.

It is an arithmetic number, because the mean of its divisors is an integer number (19344000).

Almost surely, 2^3189784752 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 3189784752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190080000).

3189784752 is an abundant number, since it is smaller than the sum of its proper divisors (9190375248).

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

3189784752 is a wasteful number, since it uses less digits than its factorization.

3189784752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 3189784752 is about 56478.1794324144. The cubic root of 3189784752 is about 1472.0428739678.

The spelling of 3189784752 in words is "three billion, one hundred eighty-nine million, seven hundred eighty-four thousand, seven hundred fifty-two".