As of the census of 2000, there were 3,551 people, 1,548 households, and 1,013 families residing in the county. The population density was 5 people per square mile (2/km2). There were 1,928 housing units at an average density of 3 per square mile (1/km2). The racial makeup of the county was 98.45% White, 0.31% Black or African American, 0.42% Native American, 0.11% Asian, 0.17% from other races, and 0.54% from two or more races. 1.04% of the population were Hispanic or Latino of any race.