9738225000 has 576 divisors, whose sum is σ = 39241238400. Its totient is φ = 2216160000.

The previous prime is 9738224963. The next prime is 9738225011. The reversal of 9738225000 is 5228379.

It is a happy number.

9738225000 is a `hidden beast` number, since 9 + 73 + 82 + 2 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 42524886 + ... + 42525114.

It is an arithmetic number, because the mean of its divisors is an integer number (68127150).

Almost surely, 2^9738225000 is an apocalyptic number.

9738225000 is a gapful number since it is divisible by the number (90) 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 9738225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19620619200).

9738225000 is an abundant number, since it is smaller than the sum of its proper divisors (29503013400).

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

9738225000 is an equidigital number, since it uses as much as digits as its factorization.

9738225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9738225000 is about 98682.4452473691. The cubic root of 9738225000 is about 2135.4689849037.

The spelling of 9738225000 in words is "nine billion, seven hundred thirty-eight million, two hundred twenty-five thousand".