As of the 2010 United States Census, there were 3,829 people, 1,675 households and 1,113 families in the county. The population density was 4.46/sqmi (1.72/km2). There were 2,004 housing units at an average density of 2.33/sqmi (0.90/km2). The racial makeup of the county was 98.0% white, 0.5% American Indian, 0.2% Asian, 0.1% Pacific islander, 0.1% black or African American, 0.3% from other races, and 0.7% from two or more races. Those of Hispanic or Latino origin made up 1.3% of the population. In terms of ancestry, 51.3% were German, 35.9% were Norwegian, 11.8% were Swedish, 8.4% were Irish, and 3.0% were American.