8738613312 has 224 divisors, whose sum is σ = 28041990144. Its totient is φ = 2365286400.

The previous prime is 8738613311. The next prime is 8738613347. The reversal of 8738613312 is 2133168378.

It is a super-3 number, since 3×8738613312³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8738613311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846003 + ... + 856269.

It is an arithmetic number, because the mean of its divisors is an integer number (125187456).

Almost surely, 2^8738613312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8738613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020995072).

8738613312 is an abundant number, since it is smaller than the sum of its proper divisors (19303376832).

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

8738613312 is a wasteful number, since it uses less digits than its factorization.

8738613312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10337 (or 10327 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 8738613312 is about 93480.5504476733. The cubic root of 8738613312 is about 2059.7483992211.

The spelling of 8738613312 in words is "eight billion, seven hundred thirty-eight million, six hundred thirteen thousand, three hundred twelve".