3965952 has 44 divisors (see below), whose sum is σ = 10578896. Its totient is φ = 1320960.

The previous prime is 3965939. The next prime is 3965963. The reversal of 3965952 is 2595693.

It is a self number, because there is not a number n which added to its sum of digits gives 3965952.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2427 + ... + 3717.

Almost surely, 2^3965952 is an apocalyptic number.

3965952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289448).

3965952 is an abundant number, since it is smaller than the sum of its proper divisors (6612944).

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

3965952 is a wasteful number, since it uses less digits than its factorization.

3965952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1296 counting only the distinct ones).

The product of its digits is 72900, while the sum is 39.

The square root of 3965952 is about 1991.4698089602. The cubic root of 3965952 is about 158.2884225964.

The spelling of 3965952 in words is "three million, nine hundred sixty-five thousand, nine hundred fifty-two".