3947904 has 96 divisors (see below), whose sum is σ = 11934000. Its totient is φ = 1250304.

The previous prime is 3947903. The next prime is 3947921. The reversal of 3947904 is 4097493.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3947903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26422 + ... + 26570.

Almost surely, 2^3947904 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 3947904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967000).

3947904 is an abundant number, since it is smaller than the sum of its proper divisors (7986096).

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

3947904 is a wasteful number, since it uses less digits than its factorization.

3947904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 177 counting only the distinct ones).

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

The square root of 3947904 is about 1986.9333154386. The cubic root of 3947904 is about 158.0479478471.

It can be divided in two parts, 3947 and 904, that added together give a triangular number (4851 = T₉₈).

The spelling of 3947904 in words is "three million, nine hundred forty-seven thousand, nine hundred four".