As of the 2000 United States Census, there were 35,804 people, 13,545 households, and 9,481 families in Fremont County. The population density was 4 people per square mile (2/km2). There were 15,541 housing units at an average density of 2 per square mile (1/km2). The racial makeup was 76.49% White, 0.12% Black or African American, 19.68% Native American, 0.30% Asian, 0.03% Pacific Islander, 1.16% from other races, and 2.21% from two or more races. 4.37% of the population were Hispanic or Latino of any race. 22.1% were of German, 9.9% English, 8.2% Irish and 6.3% American ancestry.