As of the 2010 United States Census, there were 3,431 people, 1,090 households, and 766 families in the county. The population density was . There were 1,263 housing units at an average density of . The racial makeup of the county was 61.5% American Indian, 33.7% white, 0.4% Asian, 0.1% Pacific islander, 0.1% black or African American, 0.2% from other races, and 4.0% from two or more races. Those of Hispanic or Latino origin made up 2.0% of the population. In terms of ancestry, 20.9% were German, 5.1% were Swedish, and 1.9% were American.