As of the census of 2000, there were 34,950 people, 13,653 households, and 8,328 families residing in the city. The population density was 466.4 people per square mile (180.1/km²). There were 16,272 housing units at an average density of 217.2/sq mi (83.8/km²). The racial makeup of the city was 87.85% White, 7.58% African American, 0.27% Native American, 0.88% Asian, 0.02% Pacific Islander, 1.35% from other races, and 2.05% from two or more races. Hispanic or Latino of any race were 4.72% of the population. Like other cities in the region, Rome has a strong Italian-American presence, which is especially prevalent in the Little Italy in the vicinity of East Dominick Street.
There were 13,653 households out of which 28.1% had children under the age of 18 living with them, 42.6% were married couples living together, 13.9% had a female householder with no husband present, and 39.0% were non-families. 33.2% of all households were made up of individuals and 14.6% had someone living alone who was 65 years of age or older. The average household size was 2.30 and the average family size was 2.93.
In the city the population was spread out with 22.1% under the age of 18, 8.5% from 18 to 24, 29.9% from 25 to 44, 22.3% from 45 to 64, and 17.2% who were 65 years of age or older. The median age was 38 years. For every 100 females there were 105.1 males. For every 100 females age 18 and over, there were 105.0 males.
The median income for a household in the city was $33,643, and the median income for a family was $42,928. Males had a median income of $31,635 versus $23,899 for females. The per capita income for the city was $18,604. About 12.0% of families and 15.0% of the population were below the poverty line, including 23.4% of those under age 18 and 7.6% of those age 65 or over.
Rome averages over 120 inches of snowfall each winter, mostly due to its proximity to Lake Ontario and the lake-effect snow that it produces. The West Rome Riders, Inc. snowmobile club calls Rome its home base, maintaining 41 miles of trails in and around Rome.