There is really no one specific term for someone who has studied computer science or computer engineering. In either you could be a computer scientist or a computer engineer. But equally, you may be some something else - a software engineer, a database engineer, a communications engineer, or simply a programmer.
What you are (computer engineer/computer scientist/something else) is more defined by the specific studies you made (ignoring what the degree was called), the employment you gain after these studies and how you choose to specialize what you have studied.
The content of the university study is far more important than the title of the degree. For instance, a computer science degree at one university may be equivalent in content to a computer engineering degree at another university.
For me, if I wanted to differentiate between a computer scientist and an engineer, I would look at what they studied with regards theory and practice. I would expect a computer scientist to have a deeper knowledge of theory, and in contrast, the computer engineer to have a deep knowledge of the real-life application of this theory. ie. the computer scientist to be more a theorist. But this is a generalization and my opinion.