9882249600 has 384 divisors, whose sum is σ = 36289641600. Its totient is φ = 2348974080.

The previous prime is 9882249571. The next prime is 9882249631. The reversal of 9882249600 is 69422889.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9882249600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3099207 + ... + 3102393.

It is an arithmetic number, because the mean of its divisors is an integer number (94504275).

Almost surely, 2^9882249600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9882249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144820800).

9882249600 is an abundant number, since it is smaller than the sum of its proper divisors (26407392000).

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

9882249600 is a wasteful number, since it uses less digits than its factorization.

9882249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 9882249600 is about 99409.5045757698. The cubic root of 9882249600 is about 2145.9450956672.

The spelling of 9882249600 in words is "nine billion, eight hundred eighty-two million, two hundred forty-nine thousand, six hundred".