3365920 has 48 divisors (see below), whose sum is σ = 8066520. Its totient is φ = 1327104.

The previous prime is 3365917. The next prime is 3365959. The reversal of 3365920 is 295633.

It can be written as a sum of positive squares in 4 ways, for example, as 2598544 + 767376 = 1612^2 + 876^2 .

It is a super-2 number, since 2×3365920² = 22658834892800, which contains 22 as substring.

It is an Ulam 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, 17344 + ... + 17536.

Almost surely, 2^3365920 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 3365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033260).

3365920 is an abundant number, since it is smaller than the sum of its proper divisors (4700600).

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

3365920 is a wasteful number, since it uses less digits than its factorization.

3365920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 3365920 is about 1834.6443797096. The cubic root of 3365920 is about 149.8653606660.

The spelling of 3365920 in words is "three million, three hundred sixty-five thousand, nine hundred twenty".