Database.getDatabaseName()

Returns the database's name.

String dbName = myDatabase.getDatabaseName();

Database.truncate()

Deletes every record in the database and optionally returns the number of records that were deleted. Note that it is much less expensive to truncate a database without counting the number of records deleted than it is to truncate and count.

int numDiscarded = 
    myDatabase.truncate(null,
                        true); // If true, then the number of
                               // records deleted are counted.
System.out.println("Discarded " + numDiscarded +
                " records from database " + myDatabase.getDatabaseName()); 

Database.rename()

Renames the specified database. If no value is given for the database parameter, then the entire file referenced by this method is renamed.

Never rename a database that has handles opened for it. Never rename a file that contains databases with opened handles.

import java.io.FileNotFoundException;
...
myDatabase.close();
try {
    myDatabase.rename("mydb.db",     // Database file to rename
                      null,          // Database to rename. Not used so
                                     // the entire file is renamed.
                      "newdb.db",    // New name to use.
                      null);         // DatabaseConfig object. 
                                     // None provided.
} catch (FileNotFoundException fnfe) {
    // Exception handling goes here
}