38027301728256 has 104 divisors (see below), whose sum is σ = 112659732842160. Its totient is φ = 12675767205888.

The previous prime is 38027301728249. The next prime is 38027301728291. The reversal of 38027301728256 is 65282710372083.

38027301728256 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 7 + 301 + 7 + 282 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171815505 + ... + 172036688.

Almost surely, 2^{38027301728256} is an apocalyptic number.

38027301728256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38027301728256 is an abundant number, since it is smaller than the sum of its proper divisors (74632431113904).

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

38027301728256 is an equidigital number, since it uses as much as digits as its factorization.

38027301728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343852226 (or 343852198 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 38027301728256 in words is "thirty-eight trillion, twenty-seven billion, three hundred one million, seven hundred twenty-eight thousand, two hundred fifty-six".