38928384000 has 672 divisors, whose sum is σ = 157034666880. Its totient is φ = 9437184000.

The previous prime is 38928383999. The next prime is 38928384017. The reversal of 38928384000 is 48382983.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3538943995 + ... + 3538944005.

It is an arithmetic number, because the mean of its divisors is an integer number (233682540).

Almost surely, 2^38928384000 is an apocalyptic number.

38928384000 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 38928384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78517333440).

38928384000 is an abundant number, since it is smaller than the sum of its proper divisors (118106282880).

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

38928384000 is an frugal number, since it uses more digits than its factorization.

38928384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 38928384000 in words is "thirty-eight billion, nine hundred twenty-eight million, three hundred eighty-four thousand".