4339427904 has 448 divisors, whose sum is σ = 15249428480. Its totient is φ = 1199245824.

The previous prime is 4339427903. The next prime is 4339427923. The reversal of 4339427904 is 4097249334.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 4339427904.

It is not an unprimeable number, because it can be changed into a prime (4339427903) 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 63 ways as a sum of consecutive naturals, for example, 42130317 + ... + 42130419.

Almost surely, 2^4339427904 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 4339427904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7624714240).

4339427904 is an abundant number, since it is smaller than the sum of its proper divisors (10910000576).

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

4339427904 is an equidigital number, since it uses as much as digits as its factorization.

4339427904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 4339427904 is about 65874.3341825935. The cubic root of 4339427904 is about 1631.0883749498.

The spelling of 4339427904 in words is "four billion, three hundred thirty-nine million, four hundred twenty-seven thousand, nine hundred four".