3738268385280 has 1920 divisors, whose sum is σ = 15980817162240. Its totient is φ = 817071390720.

The previous prime is 3738268385273. The next prime is 3738268385303. The reversal of 3738268385280 is 825838628373.

3738268385280 is a `hidden beast` number, since 3 + 7 + 3 + 8 + 26 + 83 + 8 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 127 ways as a sum of consecutive naturals, for example, 16763535249 + ... + 16763535471.

It is an arithmetic number, because the mean of its divisors is an integer number (8323342272).

Almost surely, 2^{3738268385280} is an apocalyptic number.

3738268385280 is a gapful number since it is divisible by the number (30) 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 3738268385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990408581120).

3738268385280 is an abundant number, since it is smaller than the sum of its proper divisors (12242548776960).

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

3738268385280 is a wasteful number, since it uses less digits than its factorization.

3738268385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 3738268385280 in words is "three trillion, seven hundred thirty-eight billion, two hundred sixty-eight million, three hundred eighty-five thousand, two hundred eighty".