/usr/lib/x86_64-linux-gnu/libgtk-3.so is in libgtk-3-dev 3.14.5-1+deb8u1.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/x86_64-linux-gnu/libgtk-3.so.0.1400.5
/usr/lib/x86_64-linux-gnu/libgtk-3.so.0.1400.5