38389824000 has 960 divisors, whose sum is σ = 154751845248. Its totient is φ = 9068544000.

The previous prime is 38389823987. The next prime is 38389824017. The reversal of 38389824000 is 42898383.

It is a tau number, because it is divible by the number of its divisors (960).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 462527959 + ... + 462528041.

Almost surely, 2^38389824000 is an apocalyptic number.

38389824000 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 38389824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77375922624).

38389824000 is an abundant number, since it is smaller than the sum of its proper divisors (116362021248).

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

38389824000 is a wasteful number, since it uses less digits than its factorization.

38389824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 177 counting only the distinct ones).

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

The spelling of 38389824000 in words is "thirty-eight billion, three hundred eighty-nine million, eight hundred twenty-four thousand".