8634224368 has 80 divisors (see below), whose sum is σ = 20899662336. Its totient is φ = 3357054720.

The previous prime is 8634224353. The next prime is 8634224369.

8634224368 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×8634224368³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8634224369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612730 + ... + 626662.

Almost surely, 2^8634224368 is an apocalyptic number.

8634224368 is a gapful number since it is divisible by the number (88) 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 8634224368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10449831168).

8634224368 is an abundant number, since it is smaller than the sum of its proper divisors (12265437968).

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

8634224368 is a wasteful number, since it uses less digits than its factorization.

8634224368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14462 (or 14456 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

The square root of 8634224368 is about 92920.5271616557. The cubic root of 8634224368 is about 2051.5138029898.

The spelling of 8634224368 in words is "eight billion, six hundred thirty-four million, two hundred twenty-four thousand, three hundred sixty-eight".