3904968 has 48 divisors (see below), whose sum is σ = 10388880. Its totient is φ = 1222912.

The previous prime is 3904933. The next prime is 3904973. The reversal of 3904968 is 8694093.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6655 + ... + 7217.

It is an arithmetic number, because the mean of its divisors is an integer number (216435).

Almost surely, 2^3904968 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 3904968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194440).

3904968 is an abundant number, since it is smaller than the sum of its proper divisors (6483912).

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

3904968 is a wasteful number, since it uses less digits than its factorization.

3904968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3904968 is about 1976.0991877940. The cubic root of 3904968 is about 157.4729003513.

The spelling of 3904968 in words is "three million, nine hundred four thousand, nine hundred sixty-eight".