3321728864 has 48 divisors (see below), whose sum is σ = 6791371776. Its totient is φ = 1597584000.

The previous prime is 3321728843. The next prime is 3321728867. The reversal of 3321728864 is 4688271233.

It is a super-2 number, since 2×3321728864² = 22067765291861460992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321728867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155639 + ... + 175689.

It is an arithmetic number, because the mean of its divisors is an integer number (141486912).

Almost surely, 2^3321728864 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 3321728864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395685888).

3321728864 is an abundant number, since it is smaller than the sum of its proper divisors (3469642912).

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

3321728864 is a wasteful number, since it uses less digits than its factorization.

3321728864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20259 (or 20251 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 3321728864 is about 57634.4416473345. The cubic root of 3321728864 is about 1492.0660892124.

The spelling of 3321728864 in words is "three billion, three hundred twenty-one million, seven hundred twenty-eight thousand, eight hundred sixty-four".