As of the 2000 United States Census, there were 3,242 people, 1,358 households, and 890 families in the county. The population density was 3 people per square mile (1/km2). There were 1,596 housing units at an average density of 1 per square mile (1/km2). The racial makeup of the county was 98.98% White, 0.03% Black or African American, 0.15% Native American, 0.03% Asian, 0.15% from other races, and 0.65% from two or more races. 0.68% of the population were Hispanic or Latino of any race. 41.1% were of German, 28.1% Norwegian, 5.3% Irish and 5.0% Polish ancestry.