I have posted how to find it in Eclipse Gallileo, but if anyone has information on older versions feel free to post it below.
In Eclipse Gallileo:
The about page (Help -> About Eclipse) has some icons towards the bottom of the dialogue. This should include two which are the plain Eclipse icon. Select the one with tooltip "Eclipse.org". Eclipse has many components, each of which has its own version number. The core is the Eclipse Platform
For Eclipse Helios 3.6, you can deduce the Eclipse Platform version directly from the About screen:
It is a combination of the Eclipse global version and the build Id:
Here is an example for Eclipse 3.6M6:
The version would be: 3.6.0.v201003121448, after the version 3.6.0 and the build Id I20100312-1448 (an Integration build from March 12th, 2010 at 14h48
To see it more easily, click on "Plugin Details" and sort by Version.
Note: Eclipse3.6 has a brand new cool logo:
And you can see the build Id now being displayed during the loading step of the different plugin.