38360068128 has 90 divisors (see below), whose sum is σ = 112845228111. Its totient is φ = 12783365568.

The previous prime is 38360068121. The next prime is 38360068129. The reversal of 38360068128 is 82186006383.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

38360068128 is a `hidden beast` number, since 38 + 3 + 600 + 6 + 8 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19180034064 + 19180034064 = 138492^2 + 138492^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=138492.

It is not an unprimeable number, because it can be changed into a prime (38360068121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9969501 + ... + 9973347.

Almost surely, 2^38360068128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38360068128

38360068128 is an abundant number, since it is smaller than the sum of its proper divisors (74485159983).

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

38360068128 is an frugal number, since it uses more digits than its factorization.

38360068128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7716 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 38360068128 in words is "thirty-eight billion, three hundred sixty million, sixty-eight thousand, one hundred twenty-eight".