The correct quote is:
"For God so loved the world, that he gave his only begotten Son, that whosoever believeth in him should not perish, but have everlasting life."
John 3:16
Jesus Christ was the only Son born of the Holy Spirit. He was the only person ever born without sin because He wasn't conceived thru man's seed (sperm). The sin nature is passed down by man's seed, since Adam. God could accept only a sinless perfect sacrifice. Jesus was the only sinless perfect sacrifice.
Not all people are God's children. Only those who are born again into God's family are His children.
"Jesus said unto them, If God were your Father, ye would love me: for I proceeded forth and came from God; neither came I of myself, but he sent me. Why do ye not understand my speech? even because ye cannot hear my word. Ye are of your father the devil, and the lusts of your father ye will do."
John 8:42-44
"But as many as received him [Jesus], to them gave he power to become the sons of God, even to them that believe on his name: Which were born, not of blood, nor of the will of the flesh, nor of the will of man, but of God."
John 1:12-13
"And because ye are sons, God hath sent forth the Spirit of his Son into your hearts, crying, Abba, Father. Wherefore thou art no more a servant, but a son; and if a son, then an heir of God through Christ."
Galations 4:6-7