38025566208 has 384 divisors, whose sum is σ = 132926976000. Its totient is φ = 10510663680.

The previous prime is 38025566203. The next prime is 38025566213. The reversal of 38025566208 is 80266552083.

38025566208 is a `hidden beast` number, since 3 + 80 + 2 + 5 + 566 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (38025566203) and next prime (38025566213).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38025566203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11997648 + ... + 12000816.

It is an arithmetic number, because the mean of its divisors is an integer number (346164000).

Almost surely, 2^38025566208 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 38025566208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66463488000).

38025566208 is an abundant number, since it is smaller than the sum of its proper divisors (94901409792).

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

38025566208 is a wasteful number, since it uses less digits than its factorization.

38025566208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 38025566208 in words is "thirty-eight billion, twenty-five million, five hundred sixty-six thousand, two hundred eight".