3648 is nontrivially palindromic in base 7.
It is a nude number because it is divisible by every one of its digits.
It is a plaindrome in base 14 and base 15.
It is a nialpdrome in base 4, base 8 and base 16.
It is a zygodrome in base 15.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3648.
3648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
23648 is an apocalyptic number.
3648 is a gapful number since it is divisible by the number (38) 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 3648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3648 is a wasteful number, since it uses less digits than its factorization.
3648 is an evil number, because the sum of its binary digits is even.
The square root of 3648 is about 60.3986754822. The cubic root of 3648 is about 15.3940045251.
Adding to 3648 its product of digits (576), we get a palindrome (4224).
The spelling of 3648 in words is "three thousand, six hundred forty-eight".