4389314688 has 144 divisors (see below), whose sum is σ = 13883783550. Its totient is φ = 1330053120.

The previous prime is 4389314681. The next prime is 4389314701. The reversal of 4389314688 is 8864139834.

4389314688 is a `hidden beast` number, since 438 + 93 + 1 + 46 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3591365184 + 797949504 = 59928^2 + 28248^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4389314681) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 123648 + ... + 155136.

Almost surely, 2^4389314688 is an apocalyptic number.

4389314688 is a gapful number since it is divisible by the number (48) 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 4389314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941891775).

4389314688 is an abundant number, since it is smaller than the sum of its proper divisors (9494468862).

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

4389314688 is a wasteful number, since it uses less digits than its factorization.

4389314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31531 (or 31505 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 4389314688 is about 66251.9032783210. The cubic root of 4389314688 is about 1637.3149957686.

The spelling of 4389314688 in words is "four billion, three hundred eighty-nine million, three hundred fourteen thousand, six hundred eighty-eight".