8534354400 has 864 divisors, whose sum is σ = 36784395648. Its totient is φ = 1903564800.

The previous prime is 8534354377. The next prime is 8534354441. The reversal of 8534354400 is 44534358.

8534354400 is a `hidden beast` number, since 85 + 34 + 3 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27799047 + ... + 27799353.

It is an arithmetic number, because the mean of its divisors is an integer number (42574532).

Almost surely, 2^8534354400 is an apocalyptic number.

8534354400 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 8534354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18392197824).

8534354400 is an abundant number, since it is smaller than the sum of its proper divisors (28250041248).

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

8534354400 is a wasteful number, since it uses less digits than its factorization.

8534354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 341 counting only the distinct ones).

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

The square root of 8534354400 is about 92381.5695904762. The cubic root of 8534354400 is about 2043.5733219882.

Adding to 8534354400 its reverse (44534358), we get a palindrome (8578888758).

The spelling of 8534354400 in words is "eight billion, five hundred thirty-four million, three hundred fifty-four thousand, four hundred".