38838987820800 has 756 divisors, whose sum is σ = 152611628793120. Its totient is φ = 9747804487680.

The previous prime is 38838987820781. The next prime is 38838987820849. The reversal of 38838987820800 is 802878983883.

It is a happy number.

38838987820800 is a `hidden beast` number, since 3 + 88 + 389 + 8 + 78 + 20 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 83 ways as a sum of consecutive naturals, for example, 79070361 + ... + 79560039.

Almost surely, 2^{38838987820800} is an apocalyptic number.

38838987820800 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 38838987820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76305814396560).

38838987820800 is an abundant number, since it is smaller than the sum of its proper divisors (113772640972320).

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

38838987820800 is an equidigital number, since it uses as much as digits as its factorization.

38838987820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489740 (or 489706 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 38838987820800 in words is "thirty-eight trillion, eight hundred thirty-eight billion, nine hundred eighty-seven million, eight hundred twenty thousand, eight hundred".