3952 has 20 divisors (see below), whose sum is σ = 8680. Its totient is φ = 1728.

The previous prime is 3947. The next prime is 3967. The reversal of 3952 is 2593.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an Ulam number.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 199 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (434).

2³⁹⁵² 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 3952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340).

3952 is an abundant number, since it is smaller than the sum of its proper divisors (4728).

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

3952 is a wasteful number, since it uses less digits than its factorization.

3952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 34 counting only the distinct ones).

The product of its digits is 270, while the sum is 19.

The square root of 3952 is about 62.8649345820. The cubic root of 3952 is about 15.8102587865.

It can be divided in two parts, 39 and 52, that added together give a triangular number (91 = T₁₃).

The spelling of 3952 in words is "three thousand, nine hundred fifty-two".