9034340400 has 240 divisors, whose sum is σ = 33848726400. Its totient is φ = 2282307840.

The previous prime is 9034340383. The next prime is 9034340411. The reversal of 9034340400 is 40434309.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183187 + ... + 227213.

It is an arithmetic number, because the mean of its divisors is an integer number (141036360).

Almost surely, 2^9034340400 is an apocalyptic number.

9034340400 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 9034340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924363200).

9034340400 is an abundant number, since it is smaller than the sum of its proper divisors (24814386000).

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

9034340400 is a wasteful number, since it uses less digits than its factorization.

9034340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44073 (or 44056 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 9034340400 is about 95049.1472870746. The cubic root of 9034340400 is about 2082.7260546081.

Adding to 9034340400 its reverse (40434309), we get a palindrome (9074774709).

The spelling of 9034340400 in words is "nine billion, thirty-four million, three hundred forty thousand, four hundred".