38304275328 has 320 divisors, whose sum is σ = 126722225520. Its totient is φ = 11386552320.

The previous prime is 38304275323. The next prime is 38304275341. The reversal of 38304275328 is 82357240383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38304275323) 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 39 ways as a sum of consecutive naturals, for example, 6041376 + ... + 6047712.

Almost surely, 2^38304275328 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 38304275328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63361112760).

38304275328 is an abundant number, since it is smaller than the sum of its proper divisors (88417950192).

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

38304275328 is a wasteful number, since it uses less digits than its factorization.

38304275328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 38304275328 in words is "thirty-eight billion, three hundred four million, two hundred seventy-five thousand, three hundred twenty-eight".