39838642509796 has 243 divisors, whose sum is σ = 80376685678107. Its totient is φ = 17269046496000.

The previous prime is 39838642509791. The next prime is 39838642509803. The reversal of 39838642509796 is 69790524683893.

The square root of 39838642509796 is 6311786.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26535582612900 + 13303059896896 = 5151270^2 + 3647336^2 .

It is not an unprimeable number, because it can be changed into a prime (39838642509791) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 208579280061 + ... + 208579280251.

Almost surely, 2^{39838642509796} is an apocalyptic number.

39838642509796 is the 6311786-th square number.

It is an amenable number.

39838642509796 is an abundant number, since it is smaller than the sum of its proper divisors (40538043168311).

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

39838642509796 is a wasteful number, since it uses less digits than its factorization.

39838642509796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 79.

The spelling of 39838642509796 in words is "thirty-nine trillion, eight hundred thirty-eight billion, six hundred forty-two million, five hundred nine thousand, seven hundred ninety-six".