3834 has 16 divisors (see below), whose sum is σ = 8640. Its totient is φ = 1260.

The previous prime is 3833. The next prime is 3847. The reversal of 3834 is 4383.

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 Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 89.

It is an arithmetic number, because the mean of its divisors is an integer number (540).

It is a practical number, because each smaller number is the sum of distinct divisors of 3834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320).

3834 is an abundant number, since it is smaller than the sum of its proper divisors (4806).

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

3834 is a wasteful number, since it uses less digits than its factorization.

3834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 3834 is about 61.9193023217. The cubic root of 3834 is about 15.6513103388.

The spelling of 3834 in words is "three thousand, eight hundred thirty-four".