3875 has 8 divisors (see below), whose sum is σ = 4992. Its totient is φ = 3000.

The previous prime is 3863. The next prime is 3877. The reversal of 3875 is 5783.

It is not a de Polignac number, because 3875 - 2¹⁰ = 2851 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12, base 14 and base 15.

It is a nialpdrome in base 5 and base 8.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 3875.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3875.

It is not an unprimeable number, because it can be changed into a prime (3877) 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 7 ways as a sum of consecutive naturals, for example, 110 + ... + 140.

It is an arithmetic number, because the mean of its divisors is an integer number (624).

2³⁸⁷⁵ is an apocalyptic number.

3875 is a deficient number, since it is larger than the sum of its proper divisors (1117).

3875 is an equidigital number, since it uses as much as digits as its factorization.

3875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 36 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 3875 is about 62.2494979899. The cubic root of 3875 is about 15.7069032620.

It can be divided in two parts, 38 and 75, that multiplied together give a triangular number (2850 = T₇₅).

The spelling of 3875 in words is "three thousand, eight hundred seventy-five".