8238172320 has 144 divisors (see below), whose sum is σ = 32128911360. Its totient is φ = 1883008512.

The previous prime is 8238172279. The next prime is 8238172321. The reversal of 8238172320 is 232718328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×8238172320³ (a number of 31 digits) contains 333 as substring.

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 (8238172321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398560 + ... + 418719.

It is an arithmetic number, because the mean of its divisors is an integer number (223117440).

Almost surely, 2^8238172320 is an apocalyptic number.

8238172320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8238172320 is an abundant number, since it is smaller than the sum of its proper divisors (23890739040).

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

8238172320 is a wasteful number, since it uses less digits than its factorization.

8238172320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817307 (or 817296 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8238172320 is about 90764.3780345571. The cubic root of 8238172320 is about 2019.6539223472.

The spelling of 8238172320 in words is "eight billion, two hundred thirty-eight million, one hundred seventy-two thousand, three hundred twenty".