In the main view of the DAM for Sitecore administration dashboard, there are some insights.
You can see the version of the module you are running.
DAM for Sitecore has its own indexes, one for master and one for web. The default name is dfs_assets_master_index and dfs_assets_web_index.
Insights will search the indexes and give you information for each synchronized language:Number of assets
Number of cropped assets
Number of metagroups
Number of metafields
Number of formats
