8734348800 has 480 divisors, whose sum is σ = 32474112000. Its totient is φ = 2299207680.

The previous prime is 8734348747. The next prime is 8734348807. The reversal of 8734348800 is 88434378.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8734348800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8734348807) 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 47 ways as a sum of consecutive naturals, for example, 43891101 + ... + 43891299.

It is an arithmetic number, because the mean of its divisors is an integer number (67654400).

Almost surely, 2^8734348800 is an apocalyptic number.

8734348800 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 8734348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16237056000).

8734348800 is an abundant number, since it is smaller than the sum of its proper divisors (23739763200).

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

8734348800 is a wasteful number, since it uses less digits than its factorization.

8734348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8734348800 is about 93457.7380423900. The cubic root of 8734348800 is about 2059.4132868984.

The spelling of 8734348800 in words is "eight billion, seven hundred thirty-four million, three hundred forty-eight thousand, eight hundred".