3966952 has 32 divisors (see below), whose sum is σ = 8258400. Its totient is φ = 1771200.

The previous prime is 3966929. The next prime is 3966961. The reversal of 3966952 is 2596693.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4999 + ... + 5737.

It is an arithmetic number, because the mean of its divisors is an integer number (258075).

Almost surely, 2^3966952 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 3966952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129200).

3966952 is an abundant number, since it is smaller than the sum of its proper divisors (4291448).

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

3966952 is a wasteful number, since it uses less digits than its factorization.

3966952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its digits is 87480, while the sum is 40.

The square root of 3966952 is about 1991.7208639767. The cubic root of 3966952 is about 158.3017254234.

The spelling of 3966952 in words is "three million, nine hundred sixty-six thousand, nine hundred fifty-two".