3956 has 12 divisors (see below), whose sum is σ = 7392. Its totient is φ = 1848.

The previous prime is 3947. The next prime is 3967. The reversal of 3956 is 6593.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 16.

It is a congruent number.

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, 71 + ... + 113.

It is an arithmetic number, because the mean of its divisors is an integer number (616).

2³⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

3956 is a deficient number, since it is larger than the sum of its proper divisors (3436).

3956 is a wasteful number, since it uses less digits than its factorization.

3956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 68 counting only the distinct ones).

The product of its digits is 810, while the sum is 23.

The square root of 3956 is about 62.8967407741. The cubic root of 3956 is about 15.8155910833.

It can be divided in two parts, 3 and 956, that added together give a palindrome (959).

The spelling of 3956 in words is "three thousand, nine hundred fifty-six".