This article is about the number. For the year 38 CE, see AD 38. For other uses of 38, see 38 (disambiguation).
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38! − 1 yields 523022617466601111760007224100074291199999999, which is the 16th factorial prime.[1]
There is no answer to the equation φ(x) = 38, making 38 a nontotient.[2]
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.
There are only two normal magic hexagons, order 1 (which is trivial) and order 3. The sum of each row of an order 3 magic hexagon is 38.[3]
In science[]
The atomic number of strontium
Astronomy[]
The Messier objectM38, a magnitude 7.0 open cluster in the constellationAuriga
The New General Catalogue object NGC 38, a spiral galaxy in the constellation Pisces
In other fields[]
Most people will see the number 38, but people with red-green color blindness might see 88 instead.
Thirty-eight is also:
The 38th parallel north is the pre-Korean War boundary between North Korea and South Korea.
The number of slots on an American roulette wheel (0, 00, and 1 through 36; European roulette does not use the 00 slot and has only 37 slots)
The number of games that each team in a sports league with 20 teams that plays a full home-and-away schedule (with each team playing the others one time home and one time away) will play in a season. The most notable leagues that currently have a 38-game season are the top divisions of association football in England and Spain, respectively the Premier League and La Liga.