The vehicular network is becoming a prominent area of research in the field of smart transportation systems. In such systems, smart vehicles are embedded with the onboard unit, which includes computing systems, communication devices, and storage equipment, and these vehicles are used to provide efficient traffic management and road safety. For many years, several solutions are addressed by many practitioners regarding different issues and challenges that arise in a vehicular network. One of the solutions is vehicular cloud computing (VCC). VCC is a promising technology that has created a great impact on the services and applications of vehicular ad-hoc networks (VANETs) by exploiting the vehicular resources effectively. In this paper, we present a survey on VCC, which integrates VANETs and cloud computing (CC). The basic overview and characteristics of VANETs are discussed. The architecture and several features of VCC are explored. We also discuss various privacy and security-related issues in VCC. Lastly, we focus on open issues, existing work, and future research directions.