examples of particles that can be attached to なに
が, の, を, に, へ, と, か, から, より, で, や, まで, だけ, くらい, やら, は, でも, しか, さえ
(なに can change to なん when with の, に, と, か, で, だけ, やら, でも.)
なに/なん usually can't be attached to nouns in general except suffix-like ones, as chiris-san and I pointed out above.