As of the census of 2000, there were 3,278 people, 1,365 households, and 924 families residing in the county. The population density was 4 people per square mile (2/km2). There were 1,643 housing units at an average density of 2 per square mile (1/km2). The racial makeup of the county was 97.19% White, 0.21% Black or African American, 0.61% Native American, 0.27% Asian, 0.98% from other races, and 0.73% from two or more races. 2.04% of the population were Hispanic or Latino of any race.