had all the books memorized at 2 and would "read" them she also memorized all the names of all the pictures on her flash cards (two packs)
learned her abc's and counted to 18 around 2 1/2
Around 2-2 1/2 is when her verbal ability started she could talk to you like a 4-5yr old
she also has an interesting imagination and is constantly taking things/toys and building/creating new things with them (she uses the metal bars from her broken babydoll highchair on her babydoll umbrella stroller so that she can attach the babydoll carseat)
she asks a ton of questions
where do the waves go??
Welcome!
I am definitely no expert, but all of what you write sounds very gt ***gt flags all over it, imo****.
Especially the more abstract stuff - the building things out of other things, asking about the waves - at age 3? That's sounds pretty serious to me.
We have a similar dd2.5, prone more to taking things apart than putting things together, massively verbal, I personally have no doubt she is at least moderately gifted.
Not reading at 4 is not a sign that a child is not gifted.
She sounds great, enjoy this fun time with her!

quick edit: really, picking up a picture and wanting to know the word that the picture represents is mighty abstract as well. I don't want to downplay that, and she doesn't sound like she's not into language - quite the opposite - but probably strong in several areas.