9349350400 has 198 divisors, whose sum is σ = 25106508222. Its totient is φ = 3450470400.

The previous prime is 9349350383. The next prime is 9349350407. The reversal of 9349350400 is 40539439.

It can be written as a sum of positive squares in 9 ways, for example, as 5379342336 + 3970008064 = 73344^2 + 63008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9349350400.

It is not an unprimeable number, because it can be changed into a prime (9349350407) 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 17 ways as a sum of consecutive naturals, for example, 4325320 + ... + 4327480.

Almost surely, 2^9349350400 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 9349350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12553254111).

9349350400 is an abundant number, since it is smaller than the sum of its proper divisors (15757157822).

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

9349350400 is a wasteful number, since it uses less digits than its factorization.

9349350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 9349350400 is about 96692.0389690899. The cubic root of 9349350400 is about 2106.6569103502.

Adding to 9349350400 its reverse (40539439), we get a palindrome (9389889839).

The spelling of 9349350400 in words is "nine billion, three hundred forty-nine million, three hundred fifty thousand, four hundred".