Fait général: 1038 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Fait mathématique: 1038 is the number of ways to stack 29 pennies in contiguous rows so that each penny lies on the table or on two pennies.
Culture générale: 1038 is an unremarkable number.
Date historique: November 3rd is the day in 361 that Emperor Constantius II dies of a fever at Mopsuestia in Cilicia, on his deathbed he is baptised and declares his cousin Julian rightful successor.