9380980800 has 252 divisors, whose sum is σ = 35304449076. Its totient is φ = 2354380800.

The previous prime is 9380980799. The next prime is 9380980877. The reversal of 9380980800 is 80890839.

It can be written as a sum of positive squares in 6 ways, for example, as 40144896 + 9340835904 = 6336^2 + 96648^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 225640 + ... + 263960.

Almost surely, 2^9380980800 is an apocalyptic number.

9380980800 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 9380980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17652224538).

9380980800 is an abundant number, since it is smaller than the sum of its proper divisors (25923468276).

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

9380980800 is a wasteful number, since it uses less digits than its factorization.

9380980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38366 (or 38348 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 9380980800 is about 96855.4634494100. The cubic root of 9380980800 is about 2109.0299592339.

The spelling of 9380980800 in words is "nine billion, three hundred eighty million, nine hundred eighty thousand, eight hundred".