Apex domains cannot have CNAME records.
Question and response
Question
dig awsdns-34.com. NS
Answer
awsdns-34.com. 4 NS g-ns-610.awsdns-34.com.
awsdns-34.com. 4 NS g-ns-1186.awsdns-34.com.
awsdns-34.com. 4 NS g-ns-1762.awsdns-34.com.
awsdns-34.com. 4 NS g-ns-35.awsdns-34.com.
Authority
The response has no authority records.
Additional
g-ns-35.awsdns-34.com. 4 A 205.251.192.35
g-ns-610.awsdns-34.com. 4 A 205.251.194.98
g-ns-1186.awsdns-34.com. 4 A 205.251.196.162
g-ns-1762.awsdns-34.com. 4 A 205.251.198.226
g-ns-35.awsdns-34.com. 4 AAAA 2600:9000:5300:2300:0:0:0:1
g-ns-610.awsdns-34.com. 4 AAAA 2600:9000:5302:6200:0:0:0:1
g-ns-1186.awsdns-34.com. 4 AAAA 2600:9000:5304:a200:0:0:0:1
g-ns-1762.awsdns-34.com. 4 AAAA 2600:9000:5306:e200:0:0:0:1
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0