3390768 has 80 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 1099584.

The previous prime is 3390763. The next prime is 3390787. The reversal of 3390768 is 8670933.

It is a super-2 number, since 2×3390768² = 22994615259648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3390763) 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, 20221 + ... + 20387.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^3390768 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 3390768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

3390768 is an abundant number, since it is smaller than the sum of its proper divisors (6608592).

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

3390768 is a wasteful number, since it uses less digits than its factorization.

3390768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3390768 is about 1841.4038123128. The cubic root of 3390768 is about 150.2332371482.

The spelling of 3390768 in words is "three million, three hundred ninety thousand, seven hundred sixty-eight".