3864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is a plaindrome in base 15.
It is a nialpdrome in base 8.
It is a zygodrome in base 2.
It is a self number, because there is not a number n which added to its sum of digits gives 3864.
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 3864.
3864 is a Friedman number, since it can be written as (6^4-8)*3, using all its digits and the basic arithmetic operations.
23864 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3864 is a wasteful number, since it uses less digits than its factorization.
3864 is an evil number, because the sum of its binary digits is even.
The square root of 3864 is about 62.1610810717. The cubic root of 3864 is about 15.6920267302.
The spelling of 3864 in words is "three thousand, eight hundred sixty-four".