I thought the air density might have been a mistake, but I checked and your numbers are correct. Theoretically, it should float, right?
But I don't know if the material is strong enough to result air pressure if it was shrink wrapped (i.e. would the air pressure squish it?)
Awesome.
The Hindenburg used 200,000m^3 of hydrogen (generating a lifting force of approx. 215,000kg. Net useful load was only 10,000kg.
Also compared to a modern blimp the Hindenburg an ancient design that's been far surpassed. A modern Zeppelin is much closer to 20% lift to weight ratio than 5 for the Hindenburg despite using less efficient helium gas. Their maximum permitted takeoff weight is 10,690 kg, with a payload of 1,900 kg.(http://en.wikipedia.org/wiki/Zeppelin_NT)