38135438208 has 384 divisors, whose sum is σ = 130223808000. Its totient is φ = 10485780480.

The previous prime is 38135438191. The next prime is 38135438233. The reversal of 38135438208 is 80283453183.

38135438208 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 5 + 438 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 24618618 + ... + 24620166.

It is an arithmetic number, because the mean of its divisors is an integer number (339124500).

Almost surely, 2^38135438208 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 38135438208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65111904000).

38135438208 is an abundant number, since it is smaller than the sum of its proper divisors (92088369792).

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

38135438208 is a wasteful number, since it uses less digits than its factorization.

38135438208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 38135438208 in words is "thirty-eight billion, one hundred thirty-five million, four hundred thirty-eight thousand, two hundred eight".