8354534400 has 792 divisors, whose sum is σ = 33261621120. Its totient is φ = 2070282240.

The previous prime is 8354534393. The next prime is 8354534401. The reversal of 8354534400 is 44354538.

8354534400 is a `hidden beast` number, since 83 + 5 + 4 + 534 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8354534401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 105753561 + ... + 105753639.

Almost surely, 2^8354534400 is an apocalyptic number.

8354534400 is a gapful number since it is divisible by the number (80) 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 8354534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16630810560).

8354534400 is an abundant number, since it is smaller than the sum of its proper divisors (24907086720).

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

8354534400 is a wasteful number, since it uses less digits than its factorization.

8354534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 8354534400 is about 91403.1421779361. The cubic root of 8354534400 is about 2029.1185314563.

Adding to 8354534400 its reverse (44354538), we get a palindrome (8398888938).

The spelling of 8354534400 in words is "eight billion, three hundred fifty-four million, five hundred thirty-four thousand, four hundred".