The county is entirely on the Pacific Ocean side of the Continental Divide, which follows the Idaho-Montana border from Wyoming until Ravalli County. Here it turns east into Montana, between Chief Joseph Pass and Lost Trail Pass, and follows the Ravalli County-Beaverhead County border.
As of the census of 2000 , there were 36,070 people, 14,289 households, and 10,188 families residing in the county. The population density was 15 people per square mile (6/km²). There were 15,946 housing units at an average density of 7 per square mile (3/km²). The racial makeup of the county was 96.71% White, 0.14% Black or African American, 0.88% Native American, 0.30% Asian, 0.10% Pacific Islander, 0.44% from other races, and 1.44% from two or more races. 1.88% of the population were Hispanic or Latino of any race. 22.1% were of German, 14.1% English, 11.1% Irish, 7.9% American and 6.3% Norwegian ancestry according to Census 2000.
There were 14,289 households out of which 30.20% had children under the age of 18 living with them, 60.30% were married couples living together, 7.50% had a female householder with no husband present, and 28.70% were non-families. 24.10% of all households were made up of individuals and 9.80% had someone living alone who was 65 years of age or older. The average household size was 2.48 and the average family size was 2.94.
In the county the population was spread out with 25.60% under the age of 18, 6.20% from 18 to 24, 24.70% from 25 to 44, 28.00% from 45 to 64, and 15.50% who were 65 years of age or older. The median age was 41 years. For every 100 females there were 98.60 males. For every 100 females age 18 and over, there were 95.40 males.
The median income for a household in the county was $31,992, and the median income for a family was $38,397. Males had a median income of $30,994 versus $19,987 for females. The per capita income for the county was $17,935. About 9.60% of families and 13.80% of the population were below the poverty line, including 20.10% of those under age 18 and 6.30% of those age 65 or over.