9858438400 has 108 divisors (see below), whose sum is σ = 24459010912. Its totient is φ = 3934033920.

The previous prime is 9858438383. The next prime is 9858438407. The reversal of 9858438400 is 48348589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9858438407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3115219 + ... + 3118381.

Almost surely, 2^9858438400 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 9858438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12229505456).

9858438400 is an abundant number, since it is smaller than the sum of its proper divisors (14600572512).

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

9858438400 is a wasteful number, since it uses less digits than its factorization.

9858438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The square root of 9858438400 is about 99289.6691504207. The cubic root of 9858438400 is about 2144.2201637725.

The spelling of 9858438400 in words is "nine billion, eight hundred fifty-eight million, four hundred thirty-eight thousand, four hundred".