3383385984 has 256 divisors, whose sum is σ = 11079648000. Its totient is φ = 1007769600.

The previous prime is 3383385937. The next prime is 3383386003. The reversal of 3383385984 is 4895833833.

It is a super-2 number, since 2×3383385984² = 22894601433455296512, which contains 22 as substring.

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

Its product of digits (7464960) is a multiple of the sum of its prime divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 3383385984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2318247 + ... + 2319705.

It is an arithmetic number, because the mean of its divisors is an integer number (43279875).

Almost surely, 2^3383385984 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 3383385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539824000).

3383385984 is an abundant number, since it is smaller than the sum of its proper divisors (7696262016).

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

3383385984 is a wasteful number, since it uses less digits than its factorization.

3383385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1536 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 3383385984 is about 58166.8804733415. The cubic root of 3383385984 is about 1501.2413404326.

The spelling of 3383385984 in words is "three billion, three hundred eighty-three million, three hundred eighty-five thousand, nine hundred eighty-four".