It is a tau number, because it is divible by the number of its divisors (60).
It is a nialpdrome in base 14 and base 16.
It is a zygodrome in base 14.
It is a self number, because there is not a number n which added to its sum of digits gives 38400.
It is a congruent number.
It is an unprimeable number.
238400 is an apocalyptic number.
38400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 38400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63426).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38400 is an equidigital number, since it uses as much as digits as its factorization.
38400 is an evil number, because the sum of its binary digits is even.
The square root of 38400 is about 195.9591794227. The cubic root of 38400 is about 33.7373066121.
Multiplying 38400 by its product of nonzero digits (96), we get a square (3686400 = 19202).
38400 divided by its product of nonzero digits (96) gives a square (400 = 202).
Adding to 38400 its reverse (483), we get a palindrome (38883).
The spelling of 38400 in words is "thirty-eight thousand, four hundred".