3328920 has 96 divisors (see below), whose sum is σ = 12373920. Its totient is φ = 760320.

The previous prime is 3328909. The next prime is 3328961. The reversal of 3328920 is 298233.

3328920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3328920² = 22163416732800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1860 + ... + 3180.

It is an arithmetic number, because the mean of its divisors is an integer number (128895).

Almost surely, 2^3328920 is an apocalyptic number.

3328920 is a gapful number since it is divisible by the number (30) 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 3328920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186960).

3328920 is an abundant number, since it is smaller than the sum of its proper divisors (9045000).

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

3328920 is a wasteful number, since it uses less digits than its factorization.

3328920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3328920 is about 1824.5328169151. The cubic root of 3328920 is about 149.3142026585.

The spelling of 3328920 in words is "three million, three hundred twenty-eight thousand, nine hundred twenty".