3380320 has 48 divisors (see below), whose sum is σ = 8216208. Its totient is φ = 1313280.

The previous prime is 3380317. The next prime is 3380387. The reversal of 3380320 is 230833.

It is a super-2 number, since 2×3380320² = 22853126604800, 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, 5635 + ... + 6205.

It is an arithmetic number, because the mean of its divisors is an integer number (171171).

Almost surely, 2^3380320 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 3380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108104).

3380320 is an abundant number, since it is smaller than the sum of its proper divisors (4835888).

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

3380320 is a wasteful number, since it uses less digits than its factorization.

3380320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3380320 is about 1838.5646575522. The cubic root of 3380320 is about 150.0787734392.

It can be divided in two parts, 3380 and 320, that multiplied together give a square (1081600 = 1040²).

The spelling of 3380320 in words is "three million, three hundred eighty thousand, three hundred twenty".