4738329216 has 192 divisors, whose sum is σ = 14501958120. Its totient is φ = 1479868416.

The previous prime is 4738329209. The next prime is 4738329217. The reversal of 4738329216 is 6129238374.

4738329216 is a `hidden beast` number, since 473 + 83 + 2 + 92 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2003457600 + 2734871616 = 44760^2 + 52296^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4738329217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6129406 + ... + 6130178.

Almost surely, 2^4738329216 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 4738329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250979060).

4738329216 is an abundant number, since it is smaller than the sum of its proper divisors (9763628904).

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

4738329216 is a wasteful number, since it uses less digits than its factorization.

4738329216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1108 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 4738329216 is about 68835.5229223981. The cubic root of 4738329216 is about 1679.6098413704.

The spelling of 4738329216 in words is "four billion, seven hundred thirty-eight million, three hundred twenty-nine thousand, two hundred sixteen".