4338984960 has 432 divisors, whose sum is σ = 15897035700. Its totient is φ = 1094320128.

The previous prime is 4338984929. The next prime is 4338984971. The reversal of 4338984960 is 694898334.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4100097024 + 238887936 = 64032^2 + 15456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4338984897 and 4338984906.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 48752596 + ... + 48752684.

Almost surely, 2^4338984960 is an apocalyptic number.

4338984960 is a gapful number since it is divisible by the number (40) 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 4338984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7948517850).

4338984960 is an abundant number, since it is smaller than the sum of its proper divisors (11558050740).

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

4338984960 is a wasteful number, since it uses less digits than its factorization.

4338984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 4338984960 is about 65870.9720590185. The cubic root of 4338984960 is about 1631.0328756682.

The spelling of 4338984960 in words is "four billion, three hundred thirty-eight million, nine hundred eighty-four thousand, nine hundred sixty".