9838745280 has 1008 divisors, whose sum is σ = 44014973184. Its totient is φ = 1997291520.

The previous prime is 9838745251. The next prime is 9838745299. The reversal of 9838745280 is 825478389.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56871274 + ... + 56871446.

It is an arithmetic number, because the mean of its divisors is an integer number (43665648).

Almost surely, 2^9838745280 is an apocalyptic number.

9838745280 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 9838745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22007486592).

9838745280 is an abundant number, since it is smaller than the sum of its proper divisors (34176227904).

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

9838745280 is a wasteful number, since it uses less digits than its factorization.

9838745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 9838745280 is about 99190.4495402657. The cubic root of 9838745280 is about 2142.7914542911.

The spelling of 9838745280 in words is "nine billion, eight hundred thirty-eight million, seven hundred forty-five thousand, two hundred eighty".