38563280800 has 432 divisors, whose sum is σ = 108920028672. Its totient is φ = 13305600000.

The previous prime is 38563280779. The next prime is 38563280807. The reversal of 38563280800 is 808236583.

It is not an unprimeable number, because it can be changed into a prime (38563280807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 213056710 + ... + 213056890.

It is an arithmetic number, because the mean of its divisors is an integer number (252129696).

Almost surely, 2^38563280800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38563280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54460014336).

38563280800 is an abundant number, since it is smaller than the sum of its proper divisors (70356747872).

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

38563280800 is a wasteful number, since it uses less digits than its factorization.

38563280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 38563280800 in words is "thirty-eight billion, five hundred sixty-three million, two hundred eighty thousand, eight hundred".