"35 is the end for developers"? That's ridiculous! There are many developers in their 40s and 50s (I'm 40+). This is like saying 35 is the end of physical capability: there's some truth in the assertion (the body start to decline) but it's a question of keeping yourself in shape, I've seen many 60 year old guys at the gym that can hold their own against any young guys. Same with coding.
I think the OPs concern is more with his lack of experience combined with his age. Not just that he's in his 30s, but that he's in his 30s and has almost no work experience.
I'm pretty sure there is a general consensus that young people learn faster, and this might seep into a decision in whether to hire a 20 something with no experience or 30 something with no experience.