Kadambari is from the Sanskrit कादम्बरी (Kādambarī — kadamba flower garland, intoxicating liquor of kadamba) — Sanskrit feminine. Kadambari is one of the Sanskrit feminine names — central to traditional Hindu literary heritage.
Kadambari 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 Kadambari reduce to 6, The Nurturer. This is a traditional interpretive system, not a factual claim about the name.