38249510208 has 224 divisors, whose sum is σ = 128575856640. Its totient is φ = 9762232320.

The previous prime is 38249510207. The next prime is 38249510219. The reversal of 38249510208 is 80201594283.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 38249510208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38249510207) 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 31 ways as a sum of consecutive naturals, for example, 506323 + ... + 576941.

It is an arithmetic number, because the mean of its divisors is an integer number (573999360).

Almost surely, 2^38249510208 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 38249510208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64287928320).

38249510208 is an abundant number, since it is smaller than the sum of its proper divisors (90326346432).

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

38249510208 is a wasteful number, since it uses less digits than its factorization.

38249510208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70685 (or 70675 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 38249510208 in words is "thirty-eight billion, two hundred forty-nine million, five hundred ten thousand, two hundred eight".