A cumulative GPA of 3.8 is within the range of admitted students, so yes, you should apply assuming your standardized tests are within range and have accomplishments that will stand out in your college essays.
See Also
Is a 3.3 GPA Good? Colleges that Accept 3.3 GPA | Turito US BlogWhat You Need For Harvard: SAT Scores and GPAHow to Get In: Yale Admission RequirementsStanford University - College ConfidentialStanford has no minimum grade. Particularly when 56 percent of successful Stanford applications have a GPA of 4.0 or above. Make sure you have a stellar GPA. Remember that the harder your classes, the more positive consideration you are given.
If you have a spike in your ECs, have a good score in standardized tests ( for SAT >1500 and ACT > 32 ), have good recommendation letters and essays, you have a greater chance of getting in.
