Step 1

Preheat the oven to 350°F (177°C) and set an oven rack in the middle position. Grease a 9x13-inch (22x33-cm) baking dish with butter or nonstick cooking spray.

Step 2

In a medium bowl, whisk together the flour, baking soda, baking powder, salt, cloves, cinnamon, and nutmeg; set aside.

Step 3

In a large bowl of an electric mixer, beat the melted butter and sugar on medium speed until just combined. Add the eggs one at a time, beating well after each addition. Beat in the pumpkin. Add the dry ingredients and mix on low speed until well combined.

Step 4

Turn the batter into the prepared pan and smooth the top. Bake for 40 to 45 minutes, or until a cake tester inserted into the center comes out clean. Set the cake on a wire rack to cool completely.

Step 5

In a large bowl of an electric mixer, beat the butter and cream cheese together on high speed until smooth and creamy, about 1 minute. Beat in the salt and vanilla. Add the confectioners' sugar and beat on low speed for 30 seconds, then switch to high speed and beat until light and creamy, about 2 minutes. Spread the frosting on the cooled cake. Cut into squares and serve. Cover any leftover cake tightly with aluminum foil and store in the fridge for up to 4 days (bring to room temperature before serving) or at room temperature for up to 2 days.