338640960 has 336 divisors, whose sum is σ = 1309274496. Its totient is φ = 73801728.

The previous prime is 338640949. The next prime is 338640997. The reversal of 338640960 is 69046833.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×338640960² = 229355399579443200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1081764 + ... + 1082076.

Almost surely, 2^338640960 is an apocalyptic number.

338640960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654637248).

338640960 is an abundant number, since it is smaller than the sum of its proper divisors (970633536).

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

338640960 is a wasteful number, since it uses less digits than its factorization.

338640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 338640960 is about 18402.1998684940. The cubic root of 338640960 is about 697.0220155016.

The spelling of 338640960 in words is "three hundred thirty-eight million, six hundred forty thousand, nine hundred sixty".