38521410048 has 240 divisors, whose sum is σ = 122659336800. Its totient is φ = 11540643840.

The previous prime is 38521410019. The next prime is 38521410089. The reversal of 38521410048 is 84001412583.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38521409994 and 38521410021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4506963 + ... + 4515501.

It is an arithmetic number, because the mean of its divisors is an integer number (511080570).

Almost surely, 2^38521410048 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 38521410048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61329668400).

38521410048 is an abundant number, since it is smaller than the sum of its proper divisors (84137926752).

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

38521410048 is a wasteful number, since it uses less digits than its factorization.

38521410048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8663 (or 8644 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 38521410048 in words is "thirty-eight billion, five hundred twenty-one million, four hundred ten thousand, forty-eight".