3966804 has 36 divisors (see below), whose sum is σ = 10090080. Its totient is φ = 1314000.

The previous prime is 3966803. The next prime is 3966817. The reversal of 3966804 is 4086693.

3966804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 (3966803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8817 + ... + 9255.

It is an arithmetic number, because the mean of its divisors is an integer number (280280).

Almost surely, 2^3966804 is an apocalyptic number.

It is an amenable number.

3966804 is an abundant number, since it is smaller than the sum of its proper divisors (6123276).

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

3966804 is a wasteful number, since it uses less digits than its factorization.

3966804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3966804 is about 1991.6837098294. The cubic root of 3966804 is about 158.2997567460.

The spelling of 3966804 in words is "three million, nine hundred sixty-six thousand, eight hundred four".