Nigel is selling candy bars for his outdoor club. He is averaging 4 bars every 3 days. If he continues at this rate, how many will take to sell his box of 36? Your answer should be a whole number.

Nigel is selling an average of 4 candy bars every 3 days. In 1 day, he is selling 4/3 = <<4/3=1.33333>>1.33333 candy bars.

If Nigel continues at this rate, it will take him 36/1.33333= 27 days to sell his box of 36 candy bars.
Therefore, Nigel will need 27 days to sell his box of 36 candy bars. Answer: \boxed{27}.