3330768 has 80 divisors (see below), whose sum is σ = 10285056. Its totient is φ = 908160.

The previous prime is 3330763. The next prime is 3330773. The reversal of 3330768 is 8670333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3330763) and next prime (3330773).

It is a super-2 number, since 2×3330768² = 22188030939648, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7513 + ... + 7943.

Almost surely, 2^3330768 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 3330768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142528).

3330768 is an abundant number, since it is smaller than the sum of its proper divisors (6954288).

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

3330768 is a wasteful number, since it uses less digits than its factorization.

3330768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3330768 is about 1825.0391776617. The cubic root of 3330768 is about 149.3418273938.

The spelling of 3330768 in words is "three million, three hundred thirty thousand, seven hundred sixty-eight".