thirty-sixth vs 36th

thirty-sixth and 36th both are adjectives.

Word	Noun	Adjective	Verb	Adverb
thirty-sixth	No	Yes	No	No
36th	No	Yes	No	No

As adjectives, thirty-sixth and 36th are synonyms defined as:

thirty-sixth and 36th: the ordinal number of thirty-six in counting order

thirty-sixth (adjective)	36th (adjective)
the ordinal number of thirty-six in counting order	the ordinal number of thirty-six in counting order