3983952 has 80 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 1115520.

The previous prime is 3983951. The next prime is 3983963. The reversal of 3983952 is 2593893.

It is a self number, because there is not a number n which added to its sum of digits gives 3983952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23773 + ... + 23939.

Almost surely, 2^3983952 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 3983952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

3983952 is an abundant number, since it is smaller than the sum of its proper divisors (8015280).

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

3983952 is a wasteful number, since it uses less digits than its factorization.

3983952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 3983952 is about 1995.9839678715. The cubic root of 3983952 is about 158.5275322279.

The spelling of 3983952 in words is "three million, nine hundred eighty-three thousand, nine hundred fifty-two".