38480509088 has 216 divisors, whose sum is σ = 93818221812. Its totient is φ = 15488299008.

The previous prime is 38480509079. The next prime is 38480509117. The reversal of 38480509088 is 88090508483.

It can be written as a sum of positive squares in 2 ways, for example, as 34472606224 + 4007902864 = 185668^2 + 63308^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 88869320 + ... + 88869752.

Almost surely, 2^38480509088 is an apocalyptic number.

38480509088 is a gapful number since it is divisible by the number (38) 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 38480509088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46909110906).

38480509088 is an abundant number, since it is smaller than the sum of its proper divisors (55337712724).

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

38480509088 is a wasteful number, since it uses less digits than its factorization.

38480509088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 53.

The spelling of 38480509088 in words is "thirty-eight billion, four hundred eighty million, five hundred nine thousand, eighty-eight".