4334884416 has 168 divisors, whose sum is σ = 12757937400. Its totient is φ = 1406705664.

The previous prime is 4334884399. The next prime is 4334884457. The reversal of 4334884416 is 6144884334.

It can be written as a sum of positive squares in 4 ways, for example, as 259338816 + 4075545600 = 16104^2 + 63840^2 .

It is a super-3 number, since 3×4334884416³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4548196 + ... + 4549148.

Almost surely, 2^4334884416 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 4334884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378968700).

4334884416 is an abundant number, since it is smaller than the sum of its proper divisors (8423052984).

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

4334884416 is a wasteful number, since it uses less digits than its factorization.

4334884416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1160 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 4334884416 is about 65839.8391249553. The cubic root of 4334884416 is about 1630.5189129094.

The spelling of 4334884416 in words is "four billion, three hundred thirty-four million, eight hundred eighty-four thousand, four hundred sixteen".