Are there many Russian immigrants abroad?

Your question has two meanings, one is race, and the other is long-term residence.

As for race, the United States is a new immigrant country, not a single nation-state, and there is no single concept of American race. In the United States, there are many Russians who immigrated to the United States from Russia and obtained American citizenship, so they are called Russian Americans. This is the same as China people who immigrated to the United States and were called Chinese Americans. On the other hand, there are no Russian-Americans.

As for long-term residence, because the United States is a developed country with a high degree of openness, many people of other nationalities live in the United States for a long time. They have not changed their original nationality, but having long-term residency in the United States means having a green card in the United States. Many countries in the world provide foreigners with "green cards" for long-term residence, and Russia also has them. However, because Russia is not as open and advanced as the United States, few Americans live in Russia for a long time except for work, so the people who go to Russia for a long time are mainly nationals of the former Soviet Union and people from eastern European countries.