38770247956128 has 768 divisors, whose sum is σ = 121213183795200. Its totient is φ = 10746667008000.

The previous prime is 38770247956127. The next prime is 38770247956151. The reversal of 38770247956128 is 82165974207783.

38770247956128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38770247956128² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38770247956127) 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 127 ways as a sum of consecutive naturals, for example, 6143278093 + ... + 6143284403.

It is an arithmetic number, because the mean of its divisors is an integer number (157829666400).

It is a 1-persistent number, because it is pandigital, but 2⋅38770247956128 = 77540495912256 is not.

Almost surely, 2^{38770247956128} is an apocalyptic number.

38770247956128 is a gapful number since it is divisible by the number (38) 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 38770247956128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60606591897600).

38770247956128 is an abundant number, since it is smaller than the sum of its proper divisors (82442935839072).

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

38770247956128 is a wasteful number, since it uses less digits than its factorization.

38770247956128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 69.

The spelling of 38770247956128 in words is "thirty-eight trillion, seven hundred seventy billion, two hundred forty-seven million, nine hundred fifty-six thousand, one hundred twenty-eight".