38829008304 has 240 divisors, whose sum is σ = 121384954080. Its totient is φ = 11514839040.

The previous prime is 38829008269. The next prime is 38829008341. The reversal of 38829008304 is 40380092883.

It is a self number, because there is not a number n which added to its sum of digits gives 38829008304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35395084 + ... + 35396180.

It is an arithmetic number, because the mean of its divisors is an integer number (505770642).

Almost surely, 2^38829008304 is an apocalyptic number.

38829008304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38829008304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60692477040).

38829008304 is an abundant number, since it is smaller than the sum of its proper divisors (82555945776).

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

38829008304 is a wasteful number, since it uses less digits than its factorization.

38829008304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 38829008304 in words is "thirty-eight billion, eight hundred twenty-nine million, eight thousand, three hundred four".