38353393728 has 336 divisors, whose sum is σ = 130007928960. Its totient is φ = 11105869824.

The previous prime is 38353393721. The next prime is 38353393753. The reversal of 38353393728 is 82739335383.

38353393728 is a `hidden beast` number, since 3 + 83 + 533 + 9 + 3 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38353393721) by changing a digit.

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, 3431413 + ... + 3442571.

It is an arithmetic number, because the mean of its divisors is an integer number (386928360).

Almost surely, 2^38353393728 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 38353393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65003964480).

38353393728 is an abundant number, since it is smaller than the sum of its proper divisors (91654535232).

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

38353393728 is a wasteful number, since it uses less digits than its factorization.

38353393728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11216 (or 11194 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 38353393728 in words is "thirty-eight billion, three hundred fifty-three million, three hundred ninety-three thousand, seven hundred twenty-eight".