As of the 2000 United States Census, there were 3,609 people, 1,476 households, and 987 families in the county. The population density was 2 people per square mile (1/km2). There were 1,860 housing units at an average density of 1 per square mile (0.4/km2). The racial makeup of the county was 96.98% White, 0.06% Black or African American, 0.55% Native American, 0.33% Asian, 0.03% Pacific Islander, 0.75% from other races, and 1.30% from two or more races. 1.50% of the population were Hispanic or Latino of any race. 22.5% were of Norwegian, 21.3% German, 11.4% English, 8.0% Irish and 7.8% American ancestry.