3976 has 16 divisors (see below), whose sum is σ = 8640. Its totient is φ = 1680.

The previous prime is 3967. The next prime is 3989. The reversal of 3976 is 6793.

3976 = T₈ + T₉ + ... + T₂₈.

3976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 8 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3976.

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, 21 + ... + 91.

It is an arithmetic number, because the mean of its divisors is an integer number (540).

2³⁹⁷⁶ 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 3976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320).

3976 is an abundant number, since it is smaller than the sum of its proper divisors (4664).

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

3976 is a wasteful number, since it uses less digits than its factorization.

3976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its digits is 1134, while the sum is 25.

The square root of 3976 is about 63.0555310817. The cubic root of 3976 is about 15.8421987901.

It can be divided in two parts, 3 and 976, that added together give a palindrome (979).

The spelling of 3976 in words is "three thousand, nine hundred seventy-six".