3904768 has 36 divisors (see below), whose sum is σ = 8911840. Its totient is φ = 1672704.

The previous prime is 3904759. The next prime is 3904801. The reversal of 3904768 is 8674093.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 703 + ... + 2881.

Almost surely, 2^3904768 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 3904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455920).

3904768 is an abundant number, since it is smaller than the sum of its proper divisors (5007072).

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

3904768 is an equidigital number, since it uses as much as digits as its factorization.

3904768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3904768 is about 1976.0485823987. The cubic root of 3904768 is about 157.4702118856.

The spelling of 3904768 in words is "three million, nine hundred four thousand, seven hundred sixty-eight".