38227876387680 has 768 divisors, whose sum is σ = 148654279710720. Its totient is φ = 8058361479168.

The previous prime is 38227876387643. The next prime is 38227876387709. The reversal of 38227876387680 is 8678367872283.

38227876387680 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 2×38227876387680² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 2503619086 + ... + 2503634354.

It is an arithmetic number, because the mean of its divisors is an integer number (193560260040).

Almost surely, 2^{38227876387680} is an apocalyptic number.

38227876387680 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 38227876387680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74327139855360).

38227876387680 is an abundant number, since it is smaller than the sum of its proper divisors (110426403323040).

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

38227876387680 is a wasteful number, since it uses less digits than its factorization.

38227876387680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16191 (or 16183 counting only the distinct ones).

The product of its (nonzero) digits is 1820786688, while the sum is 75.

The spelling of 38227876387680 in words is "thirty-eight trillion, two hundred twenty-seven billion, eight hundred seventy-six million, three hundred eighty-seven thousand, six hundred eighty".