38821705736688 has 180 divisors, whose sum is σ = 133036968247560. Its totient is φ = 10508130839808.

The previous prime is 38821705736641. The next prime is 38821705736717. The reversal of 38821705736688 is 88663750712883.

38821705736688 is a `hidden beast` number, since 38 + 8 + 2 + 17 + 0 + 573 + 6 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144653895 + ... + 144922022.

It is an arithmetic number, because the mean of its divisors is an integer number (739094268042).

Almost surely, 2^{38821705736688} is an apocalyptic number.

38821705736688 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

38821705736688 is an abundant number, since it is smaller than the sum of its proper divisors (94215262510872).

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

38821705736688 is a wasteful number, since it uses less digits than its factorization.

38821705736688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289575964 (or 289575948 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 38821705736688 in words is "thirty-eight trillion, eight hundred twenty-one billion, seven hundred five million, seven hundred thirty-six thousand, six hundred eighty-eight".