3738566786304 has 1152 divisors, whose sum is σ = 12679076551680. Its totient is φ = 953986056192.

The previous prime is 3738566786243. The next prime is 3738566786333. The reversal of 3738566786304 is 4036876658373.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34298777802 + ... + 34298777910.

It is an arithmetic number, because the mean of its divisors is an integer number (11006142840).

Almost surely, 2^{3738566786304} is an apocalyptic number.

3738566786304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3738566786304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339538275840).

3738566786304 is an abundant number, since it is smaller than the sum of its proper divisors (8940509765376).

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

3738566786304 is a wasteful number, since it uses less digits than its factorization.

3738566786304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 66.

The spelling of 3738566786304 in words is "three trillion, seven hundred thirty-eight billion, five hundred sixty-six million, seven hundred eighty-six thousand, three hundred four".