More than 25 million lower-income Americans whose stimulus payments were delayed finally received them on Wednesday. And one group still waiting — certain veterans and their beneficiaries — can expect their payments to arrive next week, the Internal Revenue Service said.

The payments have been issued in groups, with the first batch landing in accounts on March 17. But many people who receive government benefits and don’t meet the income thresholds necessary to file a tax return hadn’t gotten money because the I.R.S. didn’t have the files needed to process their payments. They included Americans who receive benefits from Social Security, Supplemental Security Income, the Railroad Retirement Board and Veterans Affairs.

On Wednesday, 25 million delayed payments, worth about $36 billion, landed. The largest block, or $26 billion, went to more than 19 million Social Security beneficiaries, including those who receive retirement, survivor or disability benefits. Another three million payments, worth nearly $5 billion, went to Supplemental Security Income beneficiaries. And about 85,000, payments, or $119 million, went to Railroad Retirement Board beneficiaries.

Some Veterans Affairs beneficiaries are still waiting. But as long as no issues arise, nonfiling veterans and their beneficiaries who receive compensation and pension benefit payments can expect their money to land on April 14. The status of their payment should become available in the I.R.S.’s Get My Payment tool on Saturday or Sunday.

Wednesday’s batch also included more than one million payments to Americans who already received one in March but were eligible to receive a new or larger amount based on their 2020 tax return. Those so-called plus-up payments were valued at more than $2 billion.