3365320 has 96 divisors (see below), whose sum is σ = 9418680. Its totient is φ = 1075200.

The previous prime is 3365317. The next prime is 3365339. The reversal of 3365320 is 235633.

3365320 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 can be written as a sum of positive squares in 4 ways, for example, as 3363556 + 1764 = 1834^2 + 42^2 .

It is a super-2 number, since 2×3365320² = 22650757404800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3365291 and 3365300.

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, 33270 + ... + 33370.

Almost surely, 2^3365320 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 3365320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709340).

3365320 is an abundant number, since it is smaller than the sum of its proper divisors (6053360).

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

3365320 is a wasteful number, since it uses less digits than its factorization.

3365320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 3365320 is about 1834.4808529936. The cubic root of 3365320 is about 149.8564552691.

The spelling of 3365320 in words is "three million, three hundred sixty-five thousand, three hundred twenty".