Final answer:
The compound is named dinitrogen trioxide. Nitrogen is named first because it is farther to the left in the periodic table than oxygen. The prefixes 'di-' and 'tri-' are used to indicate the number of atoms of each element in the compound.
Step-by-step explanation:
The compound containing three oxygen atoms and two nitrogen atoms is called dinitrogen trioxide. In naming compounds, the element that is further to the left in the periodic table is named first. Since nitrogen is to the left of oxygen, it is named first. The prefixes 'di-' and 'tri-' are used to indicate the number of atoms of each element in the compound.