3966444 has 36 divisors (see below), whose sum is σ = 10090080. Its totient is φ = 1313760.

The previous prime is 3966439. The next prime is 3966503. The reversal of 3966444 is 4446693.

3966444 is a `hidden beast` number, since 3 + 9 + 6 + 644 + 4 = 666.

3966444 is digitally balanced in base 5, 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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3966399 and 3966408.

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, 8374 + ... + 8834.

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

Almost surely, 2^3966444 is an apocalyptic number.

It is an amenable number.

3966444 is an abundant number, since it is smaller than the sum of its proper divisors (6123636).

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

3966444 is a wasteful number, since it uses less digits than its factorization.

3966444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 705 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3966444 is about 1991.5933319832. The cubic root of 3966444 is about 158.2949678667.

Subtracting 3966444 from its reverse (4446693), we obtain a square (480249 = 693²).

The spelling of 3966444 in words is "three million, nine hundred sixty-six thousand, four hundred forty-four".