38032328880 has 960 divisors, whose sum is σ = 167429283840. Its totient is φ = 7512735744.

The previous prime is 38032328843. The next prime is 38032328909. The reversal of 38032328880 is 8882323083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 170548449 + ... + 170548671.

It is an arithmetic number, because the mean of its divisors is an integer number (174405504).

Almost surely, 2^38032328880 is an apocalyptic number.

38032328880 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 38032328880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83714641920).

38032328880 is an abundant number, since it is smaller than the sum of its proper divisors (129396954960).

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

38032328880 is a wasteful number, since it uses less digits than its factorization.

38032328880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 38032328880 in words is "thirty-eight billion, thirty-two million, three hundred twenty-eight thousand, eight hundred eighty".