9932241600 has 336 divisors, whose sum is σ = 36404336640. Its totient is φ = 2634163200.

The previous prime is 9932241533. The next prime is 9932241601. The reversal of 9932241600 is 61422399.

9932241600 is a `hidden beast` number, since 9 + 9 + 3 + 2 + 2 + 41 + 600 = 666.

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 (9932241601) 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, 9633085 + ... + 9634115.

It is an arithmetic number, because the mean of its divisors is an integer number (108346240).

Almost surely, 2^9932241600 is an apocalyptic number.

9932241600 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 9932241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18202168320).

9932241600 is an abundant number, since it is smaller than the sum of its proper divisors (26472095040).

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

9932241600 is a wasteful number, since it uses less digits than its factorization.

9932241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9932241600 is about 99660.6321473028. The cubic root of 9932241600 is about 2149.5576230639.

Adding to 9932241600 its reverse (61422399), we get a palindrome (9993663999).

The spelling of 9932241600 in words is "nine billion, nine hundred thirty-two million, two hundred forty-one thousand, six hundred".