38106928095120 has 480 divisors, whose sum is σ = 139407372000000. Its totient is φ = 9291657940992.

The previous prime is 38106928095109. The next prime is 38106928095121. The reversal of 38106928095120 is 2159082960183.

38106928095120 is a `hidden beast` number, since 38 + 1 + 0 + 6 + 92 + 8 + 0 + 9 + 512 + 0 = 666.

38106928095120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38106928095121) 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 95 ways as a sum of consecutive naturals, for example, 1189747266 + ... + 1189779294.

It is an arithmetic number, because the mean of its divisors is an integer number (290432025000).

Almost surely, 2^{38106928095120} is an apocalyptic number.

38106928095120 is a gapful number since it is divisible by the number (30) 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 38106928095120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69703686000000).

38106928095120 is an abundant number, since it is smaller than the sum of its proper divisors (101300443904880).

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

38106928095120 is a wasteful number, since it uses less digits than its factorization.

38106928095120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35095 (or 35086 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 38106928095120 in words is "thirty-eight trillion, one hundred six billion, nine hundred twenty-eight million, ninety-five thousand, one hundred twenty".