It is easy to switch to engineering if you want more career options. Control theory, robotics, machine learning, signal processing and data science are all very mathematical and knowing how to prove things is also very helpful in these fields, especially if you decide to become a researcher on these.
If you know some Matlab, R or Python, you could get career in this field. Learning how to code will help you getting employed. But in these fields you are not necessarily the top coder of your company but you are more mathematically oriented!