Yes the EU population is about 100 million more than that of the US. We have many problems too, because we are 27 different countries, each with its own characteristics. It's not easy to keep it all together.
As for your 350 million people taking money even though they are dead, I am not very well informed. But I can tell you that in my country, Italy, we are used to hearing about fraud of this kind, even fake invalids take the subsidy then it turns out that they are very healthy. And I could tell you many other scams of my fellow citizens, unfortunately..