As of the 2000 United States Census, there were 3,476 people, 1,421 households, and 1,031 families in the county. The population density was 2.5 people per square mile (1.0/km2). There were 1,982 housing units at an average density of 2 per square mile (1/km2). The racial makeup of the county was 96.29% White, 1.41% Native American, 0.14% Asian, 0.06% Black or African American, 0.03% Pacific Islander, 0.92% from other races, and 1.15% from two or more races. 1.55% of the population were Hispanic or Latino of any race. 25.6% were of American, 17.9% German, 11.8% English and 7.0% Irish ancestry.