38826967680 has 192 divisors, whose sum is σ = 139040647200. Its totient is φ = 10353816576.

The previous prime is 38826967679. The next prime is 38826967693. The reversal of 38826967680 is 8676962883.

38826967680 is a `hidden beast` number, since 388 + 26 + 96 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30691 + ... + 280349.

Almost surely, 2^38826967680 is an apocalyptic number.

38826967680 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 38826967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69520323600).

38826967680 is an abundant number, since it is smaller than the sum of its proper divisors (100213679520).

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

38826967680 is an equidigital number, since it uses as much as digits as its factorization.

38826967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249693 (or 249669 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 38826967680 in words is "thirty-eight billion, eight hundred twenty-six million, nine hundred sixty-seven thousand, six hundred eighty".