3382920 has 48 divisors (see below), whose sum is σ = 10995660. Its totient is φ = 902016.

The previous prime is 3382889. The next prime is 3382943. The reversal of 3382920 is 292833.

3382920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2802276 + 580644 = 1674^2 + 762^2 .

It is a super-2 number, since 2×3382920² = 22888295452800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 4339 + ... + 5058.

Almost surely, 2^3382920 is an apocalyptic number.

3382920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3382920 is an abundant number, since it is smaller than the sum of its proper divisors (7612740).

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

3382920 is a wasteful number, since it uses less digits than its factorization.

3382920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9414 (or 9407 counting only the distinct ones).

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

The square root of 3382920 is about 1839.2715949527. The cubic root of 3382920 is about 150.1172416721.

The spelling of 3382920 in words is "three million, three hundred eighty-two thousand, nine hundred twenty".