38606819328 has 936 divisors, whose sum is σ = 148582118880. Its totient is φ = 9537454080.

The previous prime is 38606819291. The next prime is 38606819411. The reversal of 38606819328 is 82391860683.

It is a happy number.

38606819328 is a `hidden beast` number, since 3 + 8 + 606 + 8 + 1 + 9 + 3 + 28 = 666.

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 71 ways as a sum of consecutive naturals, for example, 576221151 + ... + 576221217.

It is an arithmetic number, because the mean of its divisors is an integer number (158741580).

Almost surely, 2^38606819328 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 38606819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74291059440).

38606819328 is an abundant number, since it is smaller than the sum of its proper divisors (109975299552).

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

38606819328 is a wasteful number, since it uses less digits than its factorization.

38606819328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 38606819328 in words is "thirty-eight billion, six hundred six million, eight hundred nineteen thousand, three hundred twenty-eight".