3363584 has 36 divisors (see below), whose sum is σ = 7677264. Its totient is φ = 1440768.

The previous prime is 3363571. The next prime is 3363587. The reversal of 3363584 is 4853633.

It is a super-2 number, since 2×3363584² = 22627394650112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3363584.

It is not an unprimeable number, because it can be changed into a prime (3363587) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 854 + ... + 2730.

Almost surely, 2^3363584 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 3363584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838632).

3363584 is an abundant number, since it is smaller than the sum of its proper divisors (4313680).

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

3363584 is an equidigital number, since it uses as much as digits as its factorization.

3363584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1886 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 3363584 is about 1834.0076335719. The cubic root of 3363584 is about 149.8306830244.

The spelling of 3363584 in words is "three million, three hundred sixty-three thousand, five hundred eighty-four".