Yes, there is a smell of death. Just like there is 'that look', and 'that breathing'. Unfortunately, I have seen that many times, that goes with living in a particular area with lots of older people, so I have developed my own coping mechanisms.
At the end of the shift, think about the event, somewhere in the open space...and let go of it, as you would do with a baloon. Keep only the 'clinical' stuff that you might want to use next time in a similar situation. But let the person that died go, breathing the fresh air.
Go home and wash at 90 degrees your uniform
, wipe your watch, your pen, your badge. have a long hot shower, re-do your hair, use scented hand cream. I use perfume and nice, cotton clothes. I make a coffee or a warm drink, listen to some 'happy' music, call a friend that's a nurse and have a chat if it was a particularly mind blowing experience. I also open all the windows in the house, sometimes I feel I'm still smelling that smell.
I don't talk to my family about it, and my husband knows better than asking me how my day was and has learnt 'the look', if he needs to shut up and leave me alone, he will. I guess I just need the space to clear my head and I'm also worried he or my kid might tell me that I smell funny, so I tend to avoid physical contact.
It's never an easy one. As the time went by, it's not getting easier, but I'm working on my coping mechanism. See what works for you.