This beginning of Job's speech conveys his discouragement and sorrow as he has an outpouring of emotion. He wonders why he was even born. He speaks against the day of his birth and wishes it would be removed from the calendar. He desires that there had been no joyful shout announcing his birth.
Although Job 3:7 is difficult to interpret, here is a possible paraphrase that may shed some light upon it: "Let those who can handle a tough job like rousing a Leviathan be the ones to curse my birthday." We will have more to say about this awesome creature when we study Job 41.
Job continues in 3:11-19:
"Why did I not die at birth? Why did I not perish when I came from the womb? Why did the knees receive me? Or why the breasts, that I should nurse? For now I would have lain still and been quiet, I would have been asleep; then I would have been at rest with kings and counselors of the earth, who built ruins for themselves, or with princes who had gold, who filled their houses with silver; or why was I not hidden like a stillborn child, like infants who never saw light? There the wicked cease from troubling, and there the weary are at rest. There the prisoners rest together; they do not hear the voice of the oppressor. The small and great are there, and the servant is free from his master."
Job wishes that he had been born dead or that his mother had experienced a miscarriage. If so, at least he would have been "asleep" at this time (i.e., dead physically). Job's reference to sleep is certainly not talking about the spiritual afterlife but that his physical body would have been at rest with others who had gone on before (had he died as an infant and not been swallowed up in suffering). No matter what one's position in life (whether a king, counselor, prince, wicked man, prisoner, servant, etc.), at death the physical body rests. This is what Job longs for! He has known comfort and rich blessings, but he has neither at the present time. He is ready for his life to be over. He wants to die. It is hard to find fault with Job's perspective here. Who would want to live the life he was struggling through at that time? Yet it should be observed that Job has no intention of taking his own God-given life. He is miserable, and he will remain as such until God releases him from his fleshly shell.