As of the 2000 United States Census, there were 3,574 people, 1,123 households, and 818 families in the county. The population density was 3 people per square mile (1/km2). There were 1,278 housing units at an average density of 1.1 per square mile (0.4/km2). The racial makeup of the county was 40.91% White, 0.28% Black or African American, 52.07% Native American, 0.06% Asian, 0.14% Pacific Islander, 0.17% from other races, and 6.38% from two or more races. 2.01% of the population were Hispanic or Latino of any race. 14.2% were of German and 6.1% of Irish ancestry.