3885 has 16 divisors (see below), whose sum is σ = 7296. Its totient is φ = 1728.

The previous prime is 3881. The next prime is 3889. The reversal of 3885 is 5883.

3885 = 15² + 16² + ... + 24².

It is an interprime number because it is at equal distance from previous prime (3881) and next prime (3889).

It is not a de Polignac number, because 3885 - 2² = 3881 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87 + ... + 123.

It is an arithmetic number, because the mean of its divisors is an integer number (456).

2³⁸⁸⁵ is an apocalyptic number.

3885 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3885 is a deficient number, since it is larger than the sum of its proper divisors (3411).

3885 is a wasteful number, since it uses less digits than its factorization.

3885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52.

The product of its digits is 960, while the sum is 24.

The square root of 3885 is about 62.3297681690. The cubic root of 3885 is about 15.7204029706.

It can be divided in two parts, 388 and 5, that added together give a palindrome (393).

The spelling of 3885 in words is "three thousand, eight hundred eighty-five".