9538430400 has 252 divisors, whose sum is σ = 35158890312. Its totient is φ = 2543477760.

The previous prime is 9538430347. The next prime is 9538430443. The reversal of 9538430400 is 40348359.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 376534 + ... + 401066.

It is an arithmetic number, because the mean of its divisors is an integer number (139519406).

Almost surely, 2^9538430400 is an apocalyptic number.

9538430400 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 9538430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17579445156).

9538430400 is an abundant number, since it is smaller than the sum of its proper divisors (25620459912).

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

9538430400 is a wasteful number, since it uses less digits than its factorization.

9538430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24570 (or 24543 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 9538430400 is about 97664.8882659475. Note that the first 3 decimals coincide. The cubic root of 9538430400 is about 2120.7638163813.

Adding to 9538430400 its reverse (40348359), we get a palindrome (9578778759).

The spelling of 9538430400 in words is "nine billion, five hundred thirty-eight million, four hundred thirty thousand, four hundred".