As of the census of 2000, there were 3,742 people, 1,576 households, and 1,123 families residing in the county. The population density was 7 people per square mile (3/km2). There were 2,146 housing units at an average density of 4 per square mile (2/km2). The racial makeup of the county was 96.34% White, 0.08% Black or African American, 0.94% Native American, 0.35% Asian, 0.05% Pacific Islander, 0.53% from other races, and 1.71% from two or more races. 4.06% of the population were Hispanic or Latino of any race.