9638352000 has 768 divisors, whose sum is σ = 37416113280. Its totient is φ = 2463436800.

The previous prime is 9638351981. The next prime is 9638352007. The reversal of 9638352000 is 2538369.

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

It is not an unprimeable number, because it can be changed into a prime (9638352007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143855967 + ... + 143856033.

Almost surely, 2^9638352000 is an apocalyptic number.

9638352000 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 9638352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18708056640).

9638352000 is an abundant number, since it is smaller than the sum of its proper divisors (27777761280).

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

9638352000 is an equidigital number, since it uses as much as digits as its factorization.

9638352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 9638352000 is about 98175.1088616662. The cubic root of 9638352000 is about 2128.1435917955.

The spelling of 9638352000 in words is "nine billion, six hundred thirty-eight million, three hundred fifty-two thousand".