38084563200 has 216 divisors, whose sum is σ = 130022928000. Its totient is φ = 9805537280.

The previous prime is 38084563147. The next prime is 38084563247. The reversal of 38084563200 is 236548083.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522601 + ... + 590999.

It is an arithmetic number, because the mean of its divisors is an integer number (601958000).

Almost surely, 2^38084563200 is an apocalyptic number.

38084563200 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 38084563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65011464000).

38084563200 is an abundant number, since it is smaller than the sum of its proper divisors (91938364800).

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

38084563200 is a wasteful number, since it uses less digits than its factorization.

38084563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68457 (or 68438 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 38084563200 in words is "thirty-eight billion, eighty-four million, five hundred sixty-three thousand, two hundred".