Any integer is both.
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Real numbers consist of all numbers except complex numbers. Every integer is a natural number but every rational number is not a natural number as well as an integer. So, the answer to the question is integer.
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.