8424343200 has 576 divisors, whose sum is σ = 35750211840. Its totient is φ = 1672151040.

The previous prime is 8424343199. The next prime is 8424343229. The reversal of 8424343200 is 23434248.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3711666 + ... + 3713934.

It is an arithmetic number, because the mean of its divisors is an integer number (62066340).

Almost surely, 2^8424343200 is an apocalyptic number.

8424343200 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 8424343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17875105920).

8424343200 is an abundant number, since it is smaller than the sum of its proper divisors (27325868640).

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

8424343200 is a wasteful number, since it uses less digits than its factorization.

8424343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 8424343200 is about 91784.2208661162. The cubic root of 8424343200 is about 2034.7544975265.

Adding to 8424343200 its reverse (23434248), we get a palindrome (8447777448).

The spelling of 8424343200 in words is "eight billion, four hundred twenty-four million, three hundred forty-three thousand, two hundred".