3916 has 12 divisors (see below), whose sum is σ = 7560. Its totient is φ = 1760.

The previous prime is 3911. The next prime is 3917. The reversal of 3916 is 6193.

3916 = T₂₁ + T₂₂ + ... + T₃₁.

3916 is a nontrivial binomial coefficient, being equal to C(89, 2).

It is an Ulam number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 3893 and 3902.

It is not an unprimeable number, because it can be changed into a prime (3911) by changing a digit.

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, 1 + ... + 88.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

3916 is the 88-th triangular number.

3916 is the 30-th centered nonagonal number.

It is an amenable number.

3916 is a deficient number, since it is larger than the sum of its proper divisors (3644).

3916 is a wasteful number, since it uses less digits than its factorization.

3916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its digits is 162, while the sum is 19.

The square root of 3916 is about 62.5779513886. The cubic root of 3916 is about 15.7621054159.

It can be divided in two parts, 391 and 6, that multiplied together give a triangular number (2346 = T₆₈).

The spelling of 3916 in words is "three thousand, nine hundred sixteen".