3882 has 8 divisors (see below), whose sum is σ = 7776. Its totient is φ = 1292.

The previous prime is 3881. The next prime is 3889. The reversal of 3882 is 2883.

It is a sphenic number, since it is the product of 3 distinct primes.

3882 is an admirable number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3882.

It is not an unprimeable number, because it can be changed into a prime (3881) 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, 318 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (972).

2³⁸⁸² is an apocalyptic number.

3882 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888).

3882 is a wasteful number, since it uses less digits than its factorization.

3882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652.

The product of its digits is 384, while the sum is 21.

The square root of 3882 is about 62.3056979738. The cubic root of 3882 is about 15.7163554928.

Subtracting from 3882 its reverse (2883), we obtain a palindrome (999).

It can be divided in two parts, 38 and 82, that added together give a triangular number (120 = T₁₅).

The spelling of 3882 in words is "three thousand, eight hundred eighty-two".