8238136320 has 352 divisors, whose sum is σ = 30561546240. Its totient is φ = 2100510720.

The previous prime is 8238136289. The next prime is 8238136331. The reversal of 8238136320 is 236318328.

8238136320 is a `hidden beast` number, since 8 + 2 + 3 + 8 + 13 + 632 + 0 = 666.

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

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, 3178225 + ... + 3180815.

Almost surely, 2^8238136320 is an apocalyptic number.

8238136320 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 8238136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15280773120).

8238136320 is an abundant number, since it is smaller than the sum of its proper divisors (22323409920).

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

8238136320 is a wasteful number, since it uses less digits than its factorization.

8238136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8238136320 is about 90764.1797186533. The cubic root of 8238136320 is about 2019.6509804468.

The spelling of 8238136320 in words is "eight billion, two hundred thirty-eight million, one hundred thirty-six thousand, three hundred twenty".