3320768 has 56 divisors (see below), whose sum is σ = 7406640. Its totient is φ = 1464320.

The previous prime is 3320767. The next prime is 3320771. The reversal of 3320768 is 8670233.

It is a super-2 number, since 2×3320768² = 22055000219648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3320768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37268 + ... + 37356.

Almost surely, 2^3320768 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 3320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703320).

3320768 is an abundant number, since it is smaller than the sum of its proper divisors (4085872).

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

3320768 is a wasteful number, since it uses less digits than its factorization.

3320768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 3320768 is about 1822.2974510216. The cubic root of 3320768 is about 149.1922207225.

The spelling of 3320768 in words is "three million, three hundred twenty thousand, seven hundred sixty-eight".