38313603328 has 648 divisors, whose sum is σ = 110527877376. Its totient is φ = 13083033600.

The previous prime is 38313603283. The next prime is 38313603329. The reversal of 38313603328 is 82330631383.

It is not an unprimeable number, because it can be changed into a prime (38313603329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 722898150 + ... + 722898202.

It is an arithmetic number, because the mean of its divisors is an integer number (170567712).

Almost surely, 2^38313603328 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 38313603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55263938688).

38313603328 is an abundant number, since it is smaller than the sum of its proper divisors (72214274048).

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

38313603328 is a wasteful number, since it uses less digits than its factorization.

38313603328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 38313603328 in words is "thirty-eight billion, three hundred thirteen million, six hundred three thousand, three hundred twenty-eight".