The president taunted the former first lady on Tuesday, imploring her to enter the 2020 race and "steal it away from Uber Left Elizabeth Warren."
Dozens of current and former State Department officials have been contacted in recent weeks about emails they sent years ago to Clinton's private account.
The former secretary of state, who compared her 2016 defeat to "losing to a corrupt human tornado," said she supports the impeachment inquiry.
She fired back a tweet after the US president called the impeachment probe and whistleblower complaint "the greatest scam in the history of American politics."
The president lobbed an inaccurate attack at several Democratic lawmakers on Sunday, saying they should "go back" to the countries they came from.
Former presidential candidate Hillary Clinton called out Republican lawmakers Wednesday for refusing to fully investigate
Donald Trump may have mocked Hillary Clinton’s announcement that she would not enter the 2020 presidential race on Tuesday
Had he known how hard the job was going to be, the actor’s Trump would have “told Putin to just give the job to Hillary.”
New reports commissioned by the Senate detail the scope of Russian interference in the 2016 elections.