38676112101637 has 8 divisors (see below), whose sum is σ = 40268930795352. Its totient is φ = 37114221926400.

The previous prime is 38676112101551. The next prime is 38676112101643. The reversal of 38676112101637 is 73610121167683.

38676112101637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 196099294561 + 38480012807076 = 442831^2 + 6203226^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38676112101637 - 2⁷ = 38676112101509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38676112101677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7732127068 + ... + 7732132069.

It is an arithmetic number, because the mean of its divisors is an integer number (5033616349419).

Almost surely, 2^{38676112101637} is an apocalyptic number.

It is an amenable number.

38676112101637 is a deficient number, since it is larger than the sum of its proper divisors (1592818693715).

38676112101637 is a wasteful number, since it uses less digits than its factorization.

38676112101637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15464259239.

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 38676112101637 in words is "thirty-eight trillion, six hundred seventy-six billion, one hundred twelve million, one hundred one thousand, six hundred thirty-seven".