3743052988416 has 640 divisors, whose sum is σ = 12441971520000. Its totient is φ = 976635297792.

The previous prime is 3743052988391. The next prime is 3743052988429. The reversal of 3743052988416 is 6148892503473.

It is a self number, because there is not a number n which added to its sum of digits gives 3743052988416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6066536140 + ... + 6066536756.

It is an arithmetic number, because the mean of its divisors is an integer number (19440580500).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3743052988416 = 7486105976832, but 3⋅3743052988416 = 11229158965248 is not.

Almost surely, 2^{3743052988416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3743052988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220985760000).

3743052988416 is an abundant number, since it is smaller than the sum of its proper divisors (8698918531584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3743052988416 is an frugal number, since it uses more digits than its factorization.

3743052988416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 3743052988416 in words is "three trillion, seven hundred forty-three billion, fifty-two million, nine hundred eighty-eight thousand, four hundred sixteen".