9800361120 has 576 divisors, whose sum is σ = 36486858240. Its totient is φ = 2202900480.

The previous prime is 9800361107. The next prime is 9800361143. The reversal of 9800361120 is 211630089.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91592107 + ... + 91592213.

It is an arithmetic number, because the mean of its divisors is an integer number (63345240).

Almost surely, 2^9800361120 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 9800361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18243429120).

9800361120 is an abundant number, since it is smaller than the sum of its proper divisors (26686497120).

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

9800361120 is a wasteful number, since it uses less digits than its factorization.

9800361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9800361120 is about 98996.7732807489. The cubic root of 9800361120 is about 2140.0012461052.

The spelling of 9800361120 in words is "nine billion, eight hundred million, three hundred sixty-one thousand, one hundred twenty".