38517070752 has 168 divisors, whose sum is σ = 115842597444. Its totient is φ = 12596373504.

The previous prime is 38517070747. The next prime is 38517070759. The reversal of 38517070752 is 25707071583.

It can be written as a sum of positive squares in 2 ways, for example, as 38508567696 + 8503056 = 196236^2 + 2916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38517070698 and 38517070707.

It is not an unprimeable number, because it can be changed into a prime (38517070759) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1220808 + ... + 1251960.

Almost surely, 2^38517070752 is an apocalyptic number.

38517070752 is a gapful number since it is divisible by the number (32) 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 38517070752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57921298722).

38517070752 is an abundant number, since it is smaller than the sum of its proper divisors (77325526692).

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

38517070752 is an equidigital number, since it uses as much as digits as its factorization.

38517070752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31234 (or 31211 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 38517070752 in words is "thirty-eight billion, five hundred seventeen million, seventy thousand, seven hundred fifty-two".