As of the 2000 United States Census, there were 3,363 people, 1,429 households, and 937 families in the county. The population density was 1.2 people per square mile (0.5/km2). There were 1,854 housing units at an average density of 0.6 per square mile (0.25/km2). The racial makeup of the county was 96.64% White, 0.15% Black or African American, 1.64% Native American, 0.24% Asian, 0.51% from other races, and 0.83% from two or more races. 0.74% of the population were Hispanic or Latino of any race.