3966648 has 48 divisors (see below), whose sum is σ = 11539080. Its totient is φ = 1132992.

The previous prime is 3966631. The next prime is 3966689. The reversal of 3966648 is 8466693.

3966648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 511 + ... + 2862.

Almost surely, 2^3966648 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 3966648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769540).

3966648 is an abundant number, since it is smaller than the sum of its proper divisors (7572432).

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

3966648 is a wasteful number, since it uses less digits than its factorization.

3966648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3385 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 3966648 is about 1991.6445465996. The cubic root of 3966648 is about 158.2976816005.

The spelling of 3966648 in words is "three million, nine hundred sixty-six thousand, six hundred forty-eight".