3281833984 has 156 divisors (see below), whose sum is σ = 7770572352. Its totient is φ = 1373798400.

The previous prime is 3281833979. The next prime is 3281834011. The reversal of 3281833984 is 4893381823.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7614249 + ... + 7614679.

Almost surely, 2^3281833984 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 3281833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885286176).

3281833984 is an abundant number, since it is smaller than the sum of its proper divisors (4488738368).

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

3281833984 is a wasteful number, since it uses less digits than its factorization.

3281833984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 457 counting only the distinct ones).

The product of its digits is 995328, while the sum is 49.

The square root of 3281833984 is about 57287.2933904195. The cubic root of 3281833984 is about 1486.0686392869.

The spelling of 3281833984 in words is "three billion, two hundred eighty-one million, eight hundred thirty-three thousand, nine hundred eighty-four".