So it says here that 38 is, among other things notable because:
38! – 1 yields 523022617466601111760007224100074291199999999, which is a factorial prime.
There is no answer to the equation φ(x) = 38, making 38 a nontotient.
38 is the sum of the squares of the first three primes.
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.
Also, it’s the number of games played by each team in the English Premiership, the atomic number of strontium and the number of slots on an American roulette wheel.
And it’s also the age I turned today. Yay! Cake for me!