Arianna is the Italian form of Ariadne — from the Greek Ari- ("most") + agnē ("holy, pure") — the Cretan princess of classical mythology. Arianna Grande is Ariana Grande (different spelling). Arianna Sacks-Rosenberg — American politician. Arianna also appears as the title character in Monteverdi's opera L'Arianna (1608) — among the very earliest operas.
Arianna does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Arianna reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.