When I took my first project as a "professional"(whatever that means) developer I was 29 years old. I was already older than most of the workforce ...
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I'm almost 20 years older than you. As you get older, ageism does become a real problem. You realize this when you pass every phone interview and pre-interview test with flying colors but when you and your gray hair show up for the face-to-face, you are quickly shown the door. I had this happen more than once during my job search a few months ago.
That said, there are plenty of jobs around in the corporate world where age isn't a factor and someone who can serve as a bridge between old and new technologies is valuable. There's a lot of legacy code out there that needs to be supported and modernized.
I'm no expert but it's a dream to get a job in one of the big 5 .. but lately I've read a lot of horrible stories about working there. My friend about to finish his first year on one of them and as much as he was excited about it at the beginning now he is telling me to never even think about it.
I'm still not sure .. I think it won't hurt to try and you can always find something else when you you cannot take it anymore.