If Zoroastrianism began about 3500 years ago, it is NOT the world's first mono-theistic religion. According to Biblical and historical references, Judaism began almost 7000 years ago, didn't it? It sounds as though the Persian was influenced by Judaism, possibly as a result of trade and movement of people along the Silk Road.
Pardon me while I laugh aloud at the number of errors in your post.
Firstly-- the date of Zoroaster's ministry is still debated with two dates being put forth as 700 BC and 1700 BC. The 700 BC date seems a bit more plausibel as some texts seem to suggest that he was near the time of Cyrus
Judaism as a codified religion begane only with Moses, approx. 1400 B.C., so Judaism as a codified religion is at most 3500 years old. The religion practised by The Patriarachs would be proto-Judaism/YHWHism.
To say that the Persian religion was influenced by Judaism is pretty funny. It has it's roots in Aryanic religious thoughts, NOT semitic. Zoroastrianism doesn't even seem to have been influenced by the Semitic religions in nearby Babylonia and Assyria
Oh, and the Silk Road starts in CHINA and goes along Central Asia AND, only started around the time of the Persian Empire. Zoroastrianism, whichever date you accept, predates the Persian Empire.