Yes - in fact the set of all even numbers is a subset of the set of all integers, which is, in turn, a subset of the set of all real numbers.
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negativeintegereven
It is not a natural number but it is an integer and a real number.
All integers are real numbers.
Every integer is also a rational number and a real number.
No, 3.4 is not an integer. It is a rational number and a real number, but not an integer.