'Fourth of July' is pretty much the exclusive form for the Independence Day of the U.S. and is an exceptional case. It is preceded by 'July third' and followed

'Fourth of July' is pretty much the exclusive form for the Independence Day of the U.S. and is an exceptional case. It is preceded by 'July third' and followed by 'July fifth'. Even other significant dates usually don't get special treatment, e.g. 'September Eleventh' or 'December Seventh'.