32's will survive anything you could reasonably describe as a road so long as you don't dive into potholes on purpose, but the 38's that come with hybrids are better for smoothing things out, for sure. There are also a ton of commuter MTB tires that come in this width.
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Genesis 49:16-17
"Well, well!" said Holmes, impatiently. "A good cyclist does not need a high road. The moor is intersected with paths and the moon is at the full."