338705444 has 72 divisors (see below), whose sum is σ = 758725632. Its totient is φ = 130818240.

The previous prime is 338705443. The next prime is 338705447. The reversal of 338705444 is 444507833.

It is a super-2 number, since 2×338705444² = 229442755590474272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338705398 and 338705407.

It is not an unprimeable number, because it can be changed into a prime (338705443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273194 + ... + 274430.

It is an arithmetic number, because the mean of its divisors is an integer number (10537856).

Almost surely, 2^338705444 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 338705444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379362816).

338705444 is an abundant number, since it is smaller than the sum of its proper divisors (420020188).

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

338705444 is a wasteful number, since it uses less digits than its factorization.

338705444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The square root of 338705444 is about 18403.9518582287. The cubic root of 338705444 is about 697.0662549965.

The spelling of 338705444 in words is "three hundred thirty-eight million, seven hundred five thousand, four hundred forty-four".