38328056064 has 144 divisors (see below), whose sum is σ = 114710097600. Its totient is φ = 12621901824.

The previous prime is 38328056051. The next prime is 38328056069. The reversal of 38328056064 is 46065082383.

It is a happy number.

38328056064 is a `hidden beast` number, since 3 + 8 + 3 + 2 + 80 + 560 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (38328056069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540292 + ... + 607100.

It is an arithmetic number, because the mean of its divisors is an integer number (796597900).

Almost surely, 2^38328056064 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 38328056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57355048800).

38328056064 is an abundant number, since it is smaller than the sum of its proper divisors (76382041536).

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

38328056064 is an equidigital number, since it uses as much as digits as its factorization.

38328056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66917 (or 66897 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 38328056064 in words is "thirty-eight billion, three hundred twenty-eight million, fifty-six thousand, sixty-four".