3467 Bernheim is an asteroid. It was discovered on September 26, 1981 by Norman G. Thomas of Lowell Observatory and was named to honour Robert Burnham, Jr., Thomas' former co-worker at Lowell and the author of Burnham's Celestial Handbook. A name similar to "Burnham" had already been used for 834 Burnhamia, named after the unrelated 19th century astronomer Sherburne Wesley Burnham, so Thomas chose the name "Bernheim", a name that Burnham told him had been used by his father's parents in Germany.