38117017728 has 48 divisors (see below), whose sum is σ = 109685692350. Its totient is φ = 12705672192.

The previous prime is 38117017717. The next prime is 38117017747. The reversal of 38117017728 is 82771071183.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 34622789184 + 3494228544 = 186072^2 + 59112^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16542693 + ... + 16544996.

Almost surely, 2^38117017728 is an apocalyptic number.

It is an amenable number.

38117017728 is an abundant number, since it is smaller than the sum of its proper divisors (71568674622).

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

38117017728 is a wasteful number, since it uses less digits than its factorization.

38117017728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33087709 (or 33087694 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 38117017728 in words is "thirty-eight billion, one hundred seventeen million, seventeen thousand, seven hundred twenty-eight".