9748838400 has 288 divisors, whose sum is σ = 36836392320. Its totient is φ = 2228060160.

The previous prime is 9748838387. The next prime is 9748838401. The reversal of 9748838400 is 48388479.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9748838401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1070667 + ... + 1079733.

It is an arithmetic number, because the mean of its divisors is an integer number (127904140).

Almost surely, 2^9748838400 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 9748838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18418196160).

9748838400 is an abundant number, since it is smaller than the sum of its proper divisors (27087553920).

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

9748838400 is a wasteful number, since it uses less digits than its factorization.

9748838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9109 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 9748838400 is about 98736.2061252102. The cubic root of 9748838400 is about 2136.2444978158.

The spelling of 9748838400 in words is "nine billion, seven hundred forty-eight million, eight hundred thirty-eight thousand, four hundred".