3966768 has 90 divisors (see below), whose sum is σ = 12094836. Its totient is φ = 1213056.

The previous prime is 3966761. The next prime is 3966773. The reversal of 3966768 is 8676693.

It is not an unprimeable number, because it can be changed into a prime (3966761) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24255 + ... + 24417.

Almost surely, 2^3966768 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 3966768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047418).

3966768 is an abundant number, since it is smaller than the sum of its proper divisors (8128068).

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

3966768 is a wasteful number, since it uses less digits than its factorization.

3966768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3966768 is about 1991.6746722294. The cubic root of 3966768 is about 158.2992778711.

The spelling of 3966768 in words is "three million, nine hundred sixty-six thousand, seven hundred sixty-eight".