338444416 has 64 divisors (see below), whose sum is σ = 713592000. Its totient is φ = 159446016.

The previous prime is 338444387. The next prime is 338444419. The reversal of 338444416 is 614444833.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×338444416² = 229089245443162112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338444419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 770725 + ... + 771163.

It is an arithmetic number, because the mean of its divisors is an integer number (11149875).

Almost surely, 2^338444416 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 338444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356796000).

338444416 is an abundant number, since it is smaller than the sum of its proper divisors (375147584).

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

338444416 is a wasteful number, since it uses less digits than its factorization.

338444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 777 counting only the distinct ones).

The product of its digits is 110592, while the sum is 37.

The square root of 338444416 is about 18396.8588623167. The cubic root of 338444416 is about 696.8871410836.

The spelling of 338444416 in words is "three hundred thirty-eight million, four hundred forty-four thousand, four hundred sixteen".