38781984503808 has 2304 divisors, whose sum is σ = 149433101475840. Its totient is φ = 9411948969984.

The previous prime is 38781984503807. The next prime is 38781984503837. The reversal of 38781984503808 is 80830548918783.

38781984503808 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 1 + 98 + 450 + 3 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38781984503807) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 132361721710 + ... + 132361722002.

It is an arithmetic number, because the mean of its divisors is an integer number (64858116960).

Almost surely, 2^{38781984503808} 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 38781984503808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74716550737920).

38781984503808 is an abundant number, since it is smaller than the sum of its proper divisors (110651116972032).

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

38781984503808 is a wasteful number, since it uses less digits than its factorization.

38781984503808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 38781984503808 in words is "thirty-eight trillion, seven hundred eighty-one billion, nine hundred eighty-four million, five hundred three thousand, eight hundred eight".