338305044 has 96 divisors (see below), whose sum is σ = 993484800. Its totient is φ = 87039360.

The previous prime is 338305027. The next prime is 338305061. The reversal of 338305044 is 440503833.

338305044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (338305027) and next prime (338305061).

It is a super-2 number, since 2×338305044² = 228900605591683872, which contains 22 as substring.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99037 + ... + 102395.

It is an arithmetic number, because the mean of its divisors is an integer number (10348800).

Almost surely, 2^338305044 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 338305044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496742400).

338305044 is an abundant number, since it is smaller than the sum of its proper divisors (655179756).

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

338305044 is a wasteful number, since it uses less digits than its factorization.

338305044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 338305044 is about 18393.0705430061. The cubic root of 338305044 is about 696.7914681702.

Adding to 338305044 its reverse (440503833), we get a palindrome (778808877).

The spelling of 338305044 in words is "three hundred thirty-eight million, three hundred five thousand, forty-four".