3368320 has 64 divisors (see below), whose sum is σ = 8506800. Its totient is φ = 1271808.

The previous prime is 3368317. The next prime is 3368333. The reversal of 3368320 is 238633.

3368320 is digitally balanced in base 5, because in such base 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 (64).

It is a super-2 number, since 2×3368320² = 22691159244800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12022 + ... + 12298.

Almost surely, 2^3368320 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 3368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253400).

3368320 is an abundant number, since it is smaller than the sum of its proper divisors (5138480).

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

3368320 is a wasteful number, since it uses less digits than its factorization.

3368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 3368320 is about 1835.2983408700. The cubic root of 3368320 is about 149.9009716740.

The spelling of 3368320 in words is "three million, three hundred sixty-eight thousand, three hundred twenty".