38415206517688 has 512 divisors, whose sum is σ = 101385861857280. Its totient is φ = 13162093056000.

The previous prime is 38415206517673. The next prime is 38415206517697. The reversal of 38415206517688 is 88671560251483.

38415206517688 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 127 ways as a sum of consecutive naturals, for example, 16797203281 + ... + 16797205567.

It is an arithmetic number, because the mean of its divisors is an integer number (198019261440).

Almost surely, 2^{38415206517688} 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 38415206517688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50692930928640).

38415206517688 is an abundant number, since it is smaller than the sum of its proper divisors (62970655339592).

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

38415206517688 is a wasteful number, since it uses less digits than its factorization.

38415206517688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 64.

The spelling of 38415206517688 in words is "thirty-eight trillion, four hundred fifteen billion, two hundred six million, five hundred seventeen thousand, six hundred eighty-eight".