3852 has 18 divisors (see below), whose sum is σ = 9828. Its totient is φ = 1272.

The previous prime is 3851. The next prime is 3853. The reversal of 3852 is 2583.

3852 is nontrivially palindromic in base 11.

3852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3851) and next prime (3853).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3852.

It is not an unprimeable number, because it can be changed into a prime (3851) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18 + ... + 89.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

It is an amenable number.

3852 is an abundant number, since it is smaller than the sum of its proper divisors (5976).

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

3852 is a wasteful number, since it uses less digits than its factorization.

3852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 112 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 3852 is about 62.0644825967. The cubic root of 3852 is about 15.6757655510.

It can be divided in two parts, 3 and 852, that multiplied together give a triangular number (2556 = T₇₁).

The spelling of 3852 in words is "three thousand, eight hundred fifty-two".