8838385200 has 240 divisors, whose sum is σ = 32474112000. Its totient is φ = 2280787200.

The previous prime is 8838385177. The next prime is 8838385207. The reversal of 8838385200 is 25838388.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8838385207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321601 + ... + 347999.

It is an arithmetic number, because the mean of its divisors is an integer number (135308800).

Almost surely, 2^8838385200 is an apocalyptic number.

8838385200 is a gapful number since it is divisible by the number (80) 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 8838385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16237056000).

8838385200 is an abundant number, since it is smaller than the sum of its proper divisors (23635726800).

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

8838385200 is a wasteful number, since it uses less digits than its factorization.

8838385200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26457 (or 26440 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8838385200 is about 94012.6863779565. The cubic root of 8838385200 is about 2067.5577161246.

The spelling of 8838385200 in words is "eight billion, eight hundred thirty-eight million, three hundred eighty-five thousand, two hundred".