Shahrzad is from the Persian شهرزاد (Shahrzād — shahr city + zād born — city born, of noble lineage). Shahrzad is one of the Persian feminine names — central to traditional Persian literary heritage. Persian feminine name reflecting Persian literary heritage.
Shahrzad 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.
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In Pythagorean numerology the letters of Shahrzad reduce to 4, The Builder. This is a traditional interpretive system, not a factual claim about the name.