38800588785750 has 576 divisors, whose sum is σ = 118246088383488. Its totient is φ = 9100470720000.

The previous prime is 38800588785733. The next prime is 38800588785821. The reversal of 38800588785750 is 5758788500883.

38800588785750 is a `hidden beast` number, since 38 + 8 + 0 + 0 + 588 + 7 + 8 + 5 + 7 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9214101145 + ... + 9214105355.

It is an arithmetic number, because the mean of its divisors is an integer number (205288347888).

Almost surely, 2^{38800588785750} is an apocalyptic number.

38800588785750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38800588785750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59123044191744).

38800588785750 is an abundant number, since it is smaller than the sum of its proper divisors (79445499597738).

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

38800588785750 is a wasteful number, since it uses less digits than its factorization.

38800588785750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 602112000, while the sum is 72.

The spelling of 38800588785750 in words is "thirty-eight trillion, eight hundred billion, five hundred eighty-eight million, seven hundred eighty-five thousand, seven hundred fifty".