338440960 has 216 divisors, whose sum is σ = 975061584. Its totient is φ = 110960640.

The previous prime is 338440951. The next prime is 338440997. The reversal of 338440960 is 69044833.

It is a super-2 number, since 2×338440960² = 229084566811443200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7870699 + ... + 7870741.

It is an arithmetic number, because the mean of its divisors is an integer number (4514174).

Almost surely, 2^338440960 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 338440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487530792).

338440960 is an abundant number, since it is smaller than the sum of its proper divisors (636620624).

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

338440960 is a wasteful number, since it uses less digits than its factorization.

338440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 338440960 is about 18396.7649329984. The cubic root of 338440960 is about 696.8847690051.

It can be divided in two parts, 3384 and 40960, that added together give a palindrome (44344).

The spelling of 338440960 in words is "three hundred thirty-eight million, four hundred forty thousand, nine hundred sixty".