38577106773504 has 640 divisors, whose sum is σ = 133728189598080. Its totient is φ = 10869682470912.

The previous prime is 38577106773407. The next prime is 38577106773523. The reversal of 38577106773504 is 40537760177583.

38577106773504 is a `hidden beast` number, since 3 + 8 + 57 + 7 + 1 + 0 + 6 + 7 + 73 + 504 = 666.

38577106773504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 112868212 + ... + 113209484.

It is an arithmetic number, because the mean of its divisors is an integer number (208950296247).

Almost surely, 2^{38577106773504} is an apocalyptic number.

38577106773504 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 38577106773504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66864094799040).

38577106773504 is an abundant number, since it is smaller than the sum of its proper divisors (95151082824576).

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

38577106773504 is a wasteful number, since it uses less digits than its factorization.

38577106773504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341367 (or 341345 counting only the distinct ones).

The product of its (nonzero) digits is 103723200, while the sum is 63.

The spelling of 38577106773504 in words is "thirty-eight trillion, five hundred seventy-seven billion, one hundred six million, seven hundred seventy-three thousand, five hundred four".