It is a happy number.
It is a tau number, because it is divible by the number of its divisors (16).
It is a plaindrome in base 5 and base 12.
It is a nialpdrome in base 2, base 4, base 8 and base 16.
It is a zygodrome in base 2 and base 5.
It is a congruent number.
23968 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 3968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3968 is an equidigital number, since it uses as much as digits as its factorization.
3968 is an odious number, because the sum of its binary digits is odd.
The square root of 3968 is about 62.9920629921. The cubic root of 3968 is about 15.8315664387.
The spelling of 3968 in words is "three thousand, nine hundred sixty-eight".