3872 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.
It is an ABA number since it can be written as A⋅BA, here for A=2, B=44.
It is an Ulam number.
It is an alternating number because its digits alternate between odd and even.
It is a Duffinian number.
It is a plaindrome in base 13.
It is a nialpdrome in base 8 and base 16.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3872.
3872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
23872 is an apocalyptic number.
3872 is a gapful number since it is divisible by the number (32) 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 3872
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3872 is a wasteful number, since it uses less digits than its factorization.
3872 is an odious number, because the sum of its binary digits is odd.
The square root of 3872 is about 62.2253967444. The cubic root of 3872 is about 15.7028488211.
Subtracting from 3872 its reverse (2783), we obtain a square (1089 = 332).
The spelling of 3872 in words is "three thousand, eight hundred seventy-two".