3232003121984 has 224 divisors, whose sum is σ = 8079755443200. Its totient is φ = 1248555958272.

The previous prime is 3232003121981. The next prime is 3232003122013. The reversal of 3232003121984 is 4891213002323.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3232003121981) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 122890724 + ... + 122917020.

It is an arithmetic number, because the mean of its divisors is an integer number (36070336800).

Almost surely, 2^{3232003121984} 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 3232003121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039877721600).

3232003121984 is an abundant number, since it is smaller than the sum of its proper divisors (4847752321216).

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

3232003121984 is a wasteful number, since it uses less digits than its factorization.

3232003121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26825 (or 26815 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 3232003121984 in words is "three trillion, two hundred thirty-two billion, three million, one hundred twenty-one thousand, nine hundred eighty-four".