If you are going to send emais to 3000++ users. Will you still use php mail function? I heard, it was not secured enough. How do I send a secured blast emails? I dont want t
I agree that security is probably not the issue. It will be difficult to not run into some sort of spam sensing quota limits on your upstream mail provider. Even if you send them in small batches throughout the night, there is likely a limit on a 24 hour period-- but maybe not. ISPs and hosting providers don't want to host spammers.
I'd check with your hosting provider or ISP to get specifics.