3363984 has 80 divisors (see below), whose sum is σ = 10416000. Its totient is φ = 1033344.

The previous prime is 3363979. The next prime is 3364037. The reversal of 3363984 is 4893633.

It is a super-2 number, since 2×3363984² = 22632776704512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 5317 + ... + 5915.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 2^3363984 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 3363984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208000).

3363984 is an abundant number, since it is smaller than the sum of its proper divisors (7052016).

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

3363984 is a wasteful number, since it uses less digits than its factorization.

3363984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 617 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3363984 is about 1834.1166811302. The cubic root of 3363984 is about 149.8366221157.

The spelling of 3363984 in words is "three million, three hundred sixty-three thousand, nine hundred eighty-four".