This picture shows the size of a sphere that would contain all of Earth's water in comparison to the size of the Earth. The blue sphere sitting on the United States, reaching from about Salt Lake City, Utah to Topeka, Kansas, has a diameter of about 860 miles (about 1,385 kilometers) , with a volume of about 332,500,000 cubic miles (1,386,000,000 cubic kilometers). The sphere includes all the water in the oceans, seas, ice caps, lakes and rivers as well as groundwater, atmospheric water, and even the water in you, your dog, and your tomato plant.
Using an earth's radius of 6371 km and the volume of water given in the first post, the depth of the water would be 2716 m. May be wrong because the earth's radius I got from google probably already includes the water.
In fact, it seems so little that I just tried to do a few sums. From the figures in the OP I make it (very!) roughly 0.13% of the earths total volume, or (again approx) 1/782th. Not sure if this makes it sound more or less than it looks in Johnny's pic, but in any case feel free to correct me. Sums aren't my strong point.. :\
It's possible because you are comparing two dissimilar concepts. The mass of the earth and the mass of all the water on its surface. Just because 97% of the surface of the Earth is COVERED with water has nothing to do with the volume of the Earth.
I understand that, still it looks like with all that water it would not be plenty to cover the earth as generous as we see from our point of view, you know, like, bucket of water to cover all your floor in your room :D