9506838400 has 96 divisors (see below), whose sum is σ = 24506132400. Its totient is φ = 3637370880.

The previous prime is 9506838353. The next prime is 9506838431. The reversal of 9506838400 is 48386059.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9016 + ... + 138184.

Almost surely, 2^9506838400 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 9506838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253066200).

9506838400 is an abundant number, since it is smaller than the sum of its proper divisors (14999294000).

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

9506838400 is a wasteful number, since it uses less digits than its factorization.

9506838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129216 (or 129199 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 9506838400 is about 97503.0173892070. The cubic root of 9506838400 is about 2118.4198501713.

The spelling of 9506838400 in words is "nine billion, five hundred six million, eight hundred thirty-eight thousand, four hundred".