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Liberally spray a loaf pan with non-stick spray. Preheat oven to 350 degrees.
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Beat butter with sugar using electric mixer on medium speed until light and fluffy. Reduce mixer speed, and beat in eggs one at a time, beating well after each addition and scraping down sides. Beat in vanilla.
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Whisk together flour, baking powder, baking soda and salt. Add to mixer alternating with the milk, starting, and ending with flour mixture. Turn off mixer and gently fold in 1 1/2 cups of the apple. Add half of the batter into loaf pan. Spoon half of the dulce de leche over batter. Using knife, swirl together to create marbled effect and top with remaining batter. Spoon remaining dulce de leche over top, swirl with knife.
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In bowl, mix remaining apples, butter, brown sugar, and cinnamon. Spread evenly over batter, pressing apples in gently. Bake for 40-50 minutes or until a toothpick inserted comes out clean, allow to cool for 10 minutes; remove loaf from pan and let cool completely on rack.