3382089984 has 576 divisors, whose sum is σ = 13003110400. Its totient is φ = 842047488.

The previous prime is 3382089983. The next prime is 3382089989. The reversal of 3382089984 is 4899802833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3382089984² = 22877065319746240512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3382089984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382089983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11950707 + ... + 11950989.

Almost surely, 2^3382089984 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 3382089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501555200).

3382089984 is an abundant number, since it is smaller than the sum of its proper divisors (9621020416).

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

3382089984 is a wasteful number, since it uses less digits than its factorization.

3382089984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 3382089984 is about 58155.7390461165. The cubic root of 3382089984 is about 1501.0496333419.

The spelling of 3382089984 in words is "three billion, three hundred eighty-two million, eighty-nine thousand, nine hundred eighty-four".