3959904 has 96 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 1147392.

The previous prime is 3959899. The next prime is 3959911. The reversal of 3959904 is 4099593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23629 + ... + 23795.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

Almost surely, 2^3959904 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 3959904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927040).

3959904 is an abundant number, since it is smaller than the sum of its proper divisors (7894176).

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

3959904 is a wasteful number, since it uses less digits than its factorization.

3959904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 3959904 is about 1989.9507531595. The cubic root of 3959904 is about 158.2079194008.

The spelling of 3959904 in words is "three million, nine hundred fifty-nine thousand, nine hundred four".