Well going back as far as Pentium 4 single core, yes I am pretty confident any quad core CPU even one meant for a smart phone would out perform it. Those things were painfully slow when they were new. In single threaded benchmark test it might lose, but overall performance I am sure it would win.
As for comparing the Pentium N3530, which is really designed for tablets not PCs, making it a device which isn't similar really, its a completely different field. They get used in laptops and desktops as integrated units but they aren't designed with that environment in mind.
However if you compare any quad core CPU made by Intel be it Sandy Bridge, Ivy Bridge, Haswell, or Broadwell or quad module CPU made by AMD, when it comes from a desktop or from a laptop, against any single or dual core CPU ever made including the Pentium G3258 they will have better performance every single time.
The only time this wouldn't come in as true is when you are looking at a device which is designed for tablets, such as BayTrail devices or AMD Mullins, fake quad-cores like AMDs FX-4300, or CPUs of significant age.
So yes strictly speaking more CPU cores are better. There are exceptions to that, but instead of trying to describe the difference between every CPU and type of CPU made since 2006 and most likely just confuse the OP, it was easier to say more cores are better