Who knows three hundred thirty eight?
שמונה ושלושים ושלוש מאות - מי יודע?
The traditional Passover song "Echad - mi yodeya" implies a possible presupposition that there is a Jewish significance to be found for each natural number. Accordingly, there is an ongoing series on Mi Yodeya that is attempting to unearth significant Judaism facts about each number, in sequence.
What significant Judaism facts are there about the number 338? The more significant within Judaism and the more intrinsically dependent on the value 338, the stronger the answer. Please include sources for your information wherever possible, as with all other answers on this site.
The fact that some word's gematria happens to coincide with this number is barely a weak whisper of substance. Send answers containing only lazy gematria somewhere else.
:-P