38! − 1 yields 523022617466601111760007224100074291199999999 which is the 16th factorial prime. There is no answer to the equation φ(x) = 38, making 38 a nontotient. 37 and 38 are the first pair of consecutive positive integers not divisible by any of their digits. 38 is the largest even number which cannot be written as the sum of two odd composite numbers. The sum of each row of the only non-trivial (order 3) magic hexagon is 38.