38705817600 has 1008 divisors, whose sum is σ = 154845987660. Its totient is φ = 9555148800.

The previous prime is 38705817497. The next prime is 38705817671. The reversal of 38705817600 is 671850783.

38705817600 is a `hidden beast` number, since 3 + 8 + 7 + 0 + 581 + 7 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8546632704 + 30159184896 = 92448^2 + 173664^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 634521570 + ... + 634521630.

Almost surely, 2^38705817600 is an apocalyptic number.

38705817600 is a gapful number since it is divisible by the number (30) 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 38705817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77422993830).

38705817600 is an abundant number, since it is smaller than the sum of its proper divisors (116140170060).

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

38705817600 is an equidigital number, since it uses as much as digits as its factorization.

38705817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 38705817600 in words is "thirty-eight billion, seven hundred five million, eight hundred seventeen thousand, six hundred".