3324384 has 144 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 884736.

The previous prime is 3324371. The next prime is 3324389. The reversal of 3324384 is 4834233.

3324384 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3324384² = 22103057958912, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3324389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34224 + ... + 34320.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

Almost surely, 2^3324384 is an apocalyptic number.

3324384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3324384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

3324384 is an abundant number, since it is smaller than the sum of its proper divisors (8233344).

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

3324384 is a wasteful number, since it uses less digits than its factorization.

3324384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3324384 is about 1823.2893352400. The cubic root of 3324384 is about 149.2463531175.

The spelling of 3324384 in words is "three million, three hundred twenty-four thousand, three hundred eighty-four".