3382104320 has 144 divisors (see below), whose sum is σ = 9346149120. Its totient is φ = 1148608512.

The previous prime is 3382104289. The next prime is 3382104373. The reversal of 3382104320 is 234012833.

It is a super-3 number, since 3×3382104320³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3382104320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974909 + ... + 978371.

Almost surely, 2^3382104320 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 3382104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673074560).

3382104320 is an abundant number, since it is smaller than the sum of its proper divisors (5964044800).

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

3382104320 is a wasteful number, since it uses less digits than its factorization.

3382104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3382104320 is about 58155.8623012332. The cubic root of 3382104320 is about 1501.0517542215.

The spelling of 3382104320 in words is "three billion, three hundred eighty-two million, one hundred four thousand, three hundred twenty".