3743334668288 has 192 divisors, whose sum is σ = 7786837618560. Its totient is φ = 1797783552000.

The previous prime is 3743334668279. The next prime is 3743334668309. The reversal of 3743334668288 is 8828664333473.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1636787081 + ... + 1636789367.

It is an arithmetic number, because the mean of its divisors is an integer number (40556445930).

Almost surely, 2^{3743334668288} 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 3743334668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893418809280).

3743334668288 is an abundant number, since it is smaller than the sum of its proper divisors (4043502950272).

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

3743334668288 is a wasteful number, since it uses less digits than its factorization.

3743334668288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2624 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 65.

The spelling of 3743334668288 in words is "three trillion, seven hundred forty-three billion, three hundred thirty-four million, six hundred sixty-eight thousand, two hundred eighty-eight".