3382208984 has 128 divisors (see below), whose sum is σ = 8320320000. Its totient is φ = 1250350080.

The previous prime is 3382208983. The next prime is 3382208987. The reversal of 3382208984 is 4898022833.

It is a super-2 number, since 2×3382208984² = 22878675222900624512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382208983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052372 + ... + 1055580.

It is an arithmetic number, because the mean of its divisors is an integer number (65002500).

Almost surely, 2^3382208984 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 3382208984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160160000).

3382208984 is an abundant number, since it is smaller than the sum of its proper divisors (4938111016).

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

3382208984 is a wasteful number, since it uses less digits than its factorization.

3382208984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The square root of 3382208984 is about 58156.7621519630. The cubic root of 3382208984 is about 1501.0672381181.

The spelling of 3382208984 in words is "three billion, three hundred eighty-two million, two hundred eight thousand, nine hundred eighty-four".