3876 has 24 divisors (see below), whose sum is σ = 10080. Its totient is φ = 1152.

The previous prime is 3863. The next prime is 3877. The reversal of 3876 is 6783.

3876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3876 is a nontrivial binomial coefficient, being equal to C(19, 4).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 14 and base 15.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3876.

It is not an unprimeable number, because it can be changed into a prime (3877) by changing a digit.

3876 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 213.

It is an arithmetic number, because the mean of its divisors is an integer number (420).

2³⁸⁷⁶ is an apocalyptic number.

3876 is the 51-st pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040).

3876 is an abundant number, since it is smaller than the sum of its proper divisors (6204).

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

3876 is a wasteful number, since it uses less digits than its factorization.

3876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 41 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 3876 is about 62.2575296651. The cubic root of 3876 is about 15.7082542772.

Adding to 3876 its product of digits (1008), we get a palindrome (4884).

It can be divided in two parts, 387 and 6, that added together give a palindrome (393).

The spelling of 3876 in words is "three thousand, eight hundred seventy-six".