38 (number)

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38 (thirty-eight) is the natural number following 37 and preceding 39.

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In mathematics

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.

The Messier object M38, a magnitude 7.0 open cluster in the constellation Auriga
The Saros number of
*the solar eclipse series which began on -1729 June 26 and ended on -431 August 14. The duration of Saros series 38 was 1298.1 years, and it contained 73 solar eclipses.
*the lunar eclipse series which began on -1408 April 16 and ended on -111 June 3. The duration of Saros series 38 was 1298.1 years, and it contained 73 lunar eclipses.
The New General Catalogue object NGC 38, a spiral galaxy in the constellation Pisces
The 38th parallel north is pre-Korean War boundary between North Korea and South Korea.

Most people will see the number 38, but people with red-green color blindness might see 88 instead.

Thirty-eight is also:

The number 38 in Mandarin Chinese ("san1 ba1" Roman Pinyin) is an insult referring to someone who acts in an effeminate way
The number of slots on an American Roulette wheel
The number of games that each team in the current English Premiership, the top division in English Association Football, plays in a season
"38" is a song by the industrial music band Revolting Cocks
Bill C-38 legalized same-sex marriage in Canada

38 A.D., 38 B.C., 1938, 2038, etc.

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