38020784000 has 128 divisors (see below), whose sum is σ = 95863435200. Its totient is φ = 14993664000.

The previous prime is 38020783973. The next prime is 38020784047. The reversal of 38020784000 is 48702083.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1119266 + ... + 1152734.

Almost surely, 2^38020784000 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 38020784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47931717600).

38020784000 is an abundant number, since it is smaller than the sum of its proper divisors (57842651200).

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

38020784000 is an equidigital number, since it uses as much as digits as its factorization.

38020784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33569 (or 33547 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 38020784000 in words is "thirty-eight billion, twenty million, seven hundred eighty-four thousand".