8344425600 has 1008 divisors, whose sum is σ = 36444215970. Its totient is φ = 1881169920.

The previous prime is 8344425581. The next prime is 8344425601. The reversal of 8344425600 is 65244438.

8344425600 is a `hidden beast` number, since 8 + 3 + 4 + 4 + 42 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6421778496 + 1922647104 = 80136^2 + 43848^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (8344425601) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 114307164 + ... + 114307236.

Almost surely, 2^8344425600 is an apocalyptic number.

8344425600 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 8344425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18222107985).

8344425600 is an abundant number, since it is smaller than the sum of its proper divisors (28099790370).

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

8344425600 is an equidigital number, since it uses as much as digits as its factorization.

8344425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 8344425600 is about 91347.8275603750. The cubic root of 8344425600 is about 2028.2998051218.

The spelling of 8344425600 in words is "eight billion, three hundred forty-four million, four hundred twenty-five thousand, six hundred".