38871121356760 has 512 divisors, whose sum is σ = 112666942586880. Its totient is φ = 11716988774400.

The previous prime is 38871121356731. The next prime is 38871121356799. The reversal of 38871121356760 is 6765312117883.

38871121356760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38871121356695 and 38871121356704.

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, 16394398375 + ... + 16394400745.

It is an arithmetic number, because the mean of its divisors is an integer number (220052622240).

Almost surely, 2^{38871121356760} 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 38871121356760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56333471293440).

38871121356760 is an abundant number, since it is smaller than the sum of its proper divisors (73795821230120).

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

38871121356760 is a wasteful number, since it uses less digits than its factorization.

38871121356760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 38871121356760 in words is "thirty-eight trillion, eight hundred seventy-one billion, one hundred twenty-one million, three hundred fifty-six thousand, seven hundred sixty".