Amber is from the Arabic ʿanbar (عنبر) — originally referring to ambergris, later transferred to the fossilized tree resin that became a precious gemstone. Baltic amber has been traded along the "Amber Road" trade route since 3000 BCE; the largest single piece (the Burmese Hoff Amber) weighs 33 lbs. West End Olivier Award for Dreamgirls (2017). Amber Heard — actress.
Amber 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 Amber reduce to 3, The Communicator. This is a traditional interpretive system, not a factual claim about the name.