8240344320 has 288 divisors, whose sum is σ = 29578413312. Its totient is φ = 1939931136.

The previous prime is 8240344319. The next prime is 8240344337. The reversal of 8240344320 is 234430428.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1144572 + ... + 1151748.

It is an arithmetic number, because the mean of its divisors is an integer number (102702824).

Almost surely, 2^8240344320 is an apocalyptic number.

8240344320 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 8240344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789206656).

8240344320 is an abundant number, since it is smaller than the sum of its proper divisors (21338068992).

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

8240344320 is a wasteful number, since it uses less digits than its factorization.

8240344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7237 (or 7223 counting only the distinct ones).

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

The square root of 8240344320 is about 90776.3422924718. The cubic root of 8240344320 is about 2019.8314011491.

Adding to 8240344320 its reverse (234430428), we get a palindrome (8474774748).

The spelling of 8240344320 in words is "eight billion, two hundred forty million, three hundred forty-four thousand, three hundred twenty".