Varvara is from the Russian Варвара / Greek Βαρβάρα (Varvara — foreign, stranger) — Russian + Greek rendition of Latin/Greek Barbara. Varvara is one of the Russian + Greek feminine names — central to traditional Eastern Orthodox heritage. Russian-Greek feminine name reflecting Orthodox heritage.
Varvara 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 Varvara reduce to 2, The Peacemaker. This is a traditional interpretive system, not a factual claim about the name.