3846 has 8 divisors (see below), whose sum is σ = 7704. Its totient is φ = 1280.

The previous prime is 3833. The next prime is 3847. The reversal of 3846 is 6483.

3846 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

3846 is an admirable number.

It is a plaindrome in base 13 and base 14.

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 3846.

It is not an unprimeable number, because it can be changed into a prime (3847) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 315 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (963).

3846 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 (3852).

3846 is a wasteful number, since it uses less digits than its factorization.

3846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646.

The product of its digits is 576, while the sum is 21.

The square root of 3846 is about 62.0161269349. The cubic root of 3846 is about 15.6676222947.

It can be divided in two parts, 384 and 6, that multiplied together give a square (2304 = 48²).

The spelling of 3846 in words is "three thousand, eight hundred forty-six".