3189341232000 has 2304 divisors, whose sum is σ = 14614293657600. Its totient is φ = 652354560000.

The previous prime is 3189341231977. The next prime is 3189341232013. The reversal of 3189341232000 is 2321439813.

3189341232000 is a `hidden beast` number, since 3 + 1 + 89 + 341 + 232 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9635471835 + ... + 9635472165.

It is an arithmetic number, because the mean of its divisors is an integer number (6343009400).

Almost surely, 2^{3189341232000} is an apocalyptic number.

3189341232000 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 3189341232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307146828800).

3189341232000 is an abundant number, since it is smaller than the sum of its proper divisors (11424952425600).

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

3189341232000 is a wasteful number, since it uses less digits than its factorization.

3189341232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 3189341232000 in words is "three trillion, one hundred eighty-nine billion, three hundred forty-one million, two hundred thirty-two thousand".