Since TurboTax is tax preparation software and your tax return is self-prepared there is not a DNC number.
There is an Electronic Postmark Report which has the date/time the tax return was e-filed and the date it was Accepted by the IRS, if accepted.
The Postmark Report will be available if using Print Center and the option for all worksheets.
To access your current or prior year online tax returns sign onto the TurboTax website with the User ID you used to create the account - https://myturbotax.intuit.com/
When you sign onto your online account and land on the Tax Home web page, scroll down and click on Add a state.
This will take you back to the 2024 online tax return.
Click on Tax Tools on the left side of the online program screen. Then click on Print Center. Then click on Print, save or preview this year's return. Choose the option Include government and TurboTax worksheets
If you used the desktop CD/Download editions installed on your computer, the only copy of your tax data file and any PDF's will be on the computer where the return was created. TurboTax does not store online any returns completed using the desktop editions.