9638208000 has 480 divisors, whose sum is σ = 35974326960. Its totient is φ = 2477260800.

The previous prime is 9638207981. The next prime is 9638208001. The reversal of 9638208000 is 8028369.

It can be written as a sum of positive squares in 8 ways, for example, as 2574141696 + 7064066304 = 50736^2 + 84048^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 (9638208001) 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, 16703712 + ... + 16704288.

Almost surely, 2^9638208000 is an apocalyptic number.

9638208000 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 9638208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987163480).

9638208000 is an abundant number, since it is smaller than the sum of its proper divisors (26336118960).

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

9638208000 is a wasteful number, since it uses less digits than its factorization.

9638208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9638208000 is about 98174.3754754773. The cubic root of 9638208000 is about 2128.1329933653.

The spelling of 9638208000 in words is "nine billion, six hundred thirty-eight million, two hundred eight thousand".