This piece is what's called a “Bombe” chest after it's shape. These pieces were in the Louis XV Style first popular during the mid 1700's, but the style has been reproduced in several period , the 1890's, the 1920's, the 1950's. Furniture in this style remains in production to this day, but imported from Italy and China. This particular example has a marble top, most like this one tend to be mid 20th Century reproductions, without actually physically examining them it is sometimes impossible to determine an exact vintage.
Veneered furniture of this type is very prone to damage from moisture and heat which causes the wood to shrink or swell and the glue that holds it to loosen. It's best if you have furniture of this type that the humidity levels are kept at a constant state rather than wild swings from one extreme to the other. Keeping furniture at a steady humidity somewhere over 22% to prevent shrinkage and under about 50% to prevent swelling. Regular polishing will add a layer of protection, slowing the movement of moisture in and out of the wood, preventing warpage, cracking and delamination of veener. In terms of value, it depends on the vintage of the piece, in the current market a good quality 1920's or 1950's example of this type often sell at auction in the 4300.00- $500.00 range.