38 (number)

38 is the natural number following 37 and preceding 39.


Cardinal	thirty-eight
Ordinal	38th (thirty-eighth)
Factorization	$2\cdot 19$
Roman numeral	XXXVIII
Binary	100110
Hexadecimal	26

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.

In science

The atomic number of strontium

In astronomy,

Messier object M38, a magnitude 7.0 open cluster in the constellation Auriga

The New General Catalogue object NGC 38, a spiral galaxy in the constellation Pisces

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 Saros number of 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.

Thirty-eight is also:

The number of slots on an American Roulette wheel.
The year A.D. 38, 38 BC, or 1938.
The number of games that each team in the current English Premiership, the top division in English Association Football, plays in a season
Bill C-38 could legalize gay marriage in Canada.

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