Not sure if you ever got to solve this, but I was able to find the APK along with a method to export using Tango updated tablet version. I successfully exported the point cloud data using the method described in this blog.
http://www.kitware.com/blog/home/post/838
Edit
Procedure download the APK or use the source code found found in the GITHUB project folder.
Once that is done boot up the app as you normally would. There will a slider record, and auto. If you slide record it will only wait until you hit the snap shot button to record the point cloud data you are currently viewing.
If you slide the auto it will continuously record the point cloud data and create files as it tracks where you are moving. Keep in mind the larger the file the larger it takes to save as a zip.
Once done slide the record and it will prompt you to save and send.
I find it easier to save to the Google Drive as other the other methods sometimes fail to send.
Once done download the free Paraview App found http://www.paraview.org/download/ load up your Point cloud data.
It should be two files one your pose data and the other point cloud. (you could individually load each data using the collapse arrow you see before importing it in.)
That will be it you will be able to see your data and actually play back the animation of you recording it because of your pose data collected.
( only wrote this out because you were looking for an easier way to export data) This is probably the easiest. You could take said data and begin to reconstructed the room based on the pose data collected.)
all credit for source code and tutorial goes to the The Kitware blog
If links are broken DM me and I will send the file to you.
APK is found here
APK DOWNLOAD
they also have listed their source code at the bottom of the blog. It is based on the tango Explorer found in the app store.