JavaScript historically has no way to do namespacing. In most languages this would be a deal breaker. But because JavaScript has lambda functions, closures and first class functions a solution could be crafted from scratch! Immediately-Invoked Function Expressions (IIFE) were one of the most powerful early techniques to create scopes on the fly in JavaScript. Without these tools from the lambda calculus you would normally have to rely on language level changes to allow these problems to be fixed.
The other early challenge of JavaScript was the need for asynchronous callbacks. Often these require passing around data that you might not have access to when a function is written. Lambda functions allow programmers to quickly write ad hoc logic. First class functions allow programmers to pass around this logic. And most importantly closures allow you to create functions on the fly based on data that is not known until an asynchronous callback is applied. Again without the core ideas of the lambda calculus in place this type of power would require significant language-level design changes.
10 years ago JavaScript was a hideous language, with many major issues. But because in this mess was contained the power of the lambda calculus the language was able to be salvaged and extended to a wide range of uses.