3200330032984 has 96 divisors (see below), whose sum is σ = 7115891413680. Its totient is φ = 1344958008576.

The previous prime is 3200330032981. The next prime is 3200330033009. The reversal of 3200330032984 is 4892300330023.

It is a super-2 number, since 2×3200330032984² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200330032981) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38955519 + ... + 39037585.

Almost surely, 2^{3200330032984} 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 3200330032984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557945706840).

3200330032984 is an abundant number, since it is smaller than the sum of its proper divisors (3915561380696).

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

3200330032984 is a wasteful number, since it uses less digits than its factorization.

3200330032984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84017 (or 84006 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 3200330032984 in words is "three trillion, two hundred billion, three hundred thirty million, thirty-two thousand, nine hundred eighty-four".