3966264 has 48 divisors (see below), whose sum is σ = 11094720. Its totient is φ = 1278720.

The previous prime is 3966247. The next prime is 3966271. The reversal of 3966264 is 4626693.

3966264 is a `hidden beast` number, since 396 + 6 + 264 = 666.

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 an Ulam number.

It is a congruent number.

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, 1344 + ... + 3120.

It is an arithmetic number, because the mean of its divisors is an integer number (231140).

Almost surely, 2^3966264 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 3966264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547360).

3966264 is an abundant number, since it is smaller than the sum of its proper divisors (7128456).

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

3966264 is a wasteful number, since it uses less digits than its factorization.

3966264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1813 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3966264 is about 1991.5481415221. The cubic root of 3966264 is about 158.2925733184.

The spelling of 3966264 in words is "three million, nine hundred sixty-six thousand, two hundred sixty-four".