38282160384 has 720 divisors, whose sum is σ = 130883860800. Its totient is φ = 11045486592.

The previous prime is 38282160377. The next prime is 38282160401. The reversal of 38282160384 is 48306128283.

38282160384 is a `hidden beast` number, since 38 + 2 + 8 + 2 + 1 + 603 + 8 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 461230807 + ... + 461230889.

It is an arithmetic number, because the mean of its divisors is an integer number (181783140).

Almost surely, 2^38282160384 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 38282160384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65441930400).

38282160384 is an abundant number, since it is smaller than the sum of its proper divisors (92601700416).

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

38282160384 is a wasteful number, since it uses less digits than its factorization.

38282160384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 38282160384 in words is "thirty-eight billion, two hundred eighty-two million, one hundred sixty thousand, three hundred eighty-four".