Your car is never truely clean until you've clayed it. The paint should feel like glass now.
Beware though, only clay after washing to remove all heavy dirt that could be dragged across the surface. Claying causes marring to the paint so be prepared to polish and glaze it afterwards. Then sealant and wax for the cleanest paint and the best protection. I clay approx every 6mths based on my low mileage.