338283680 has 192 divisors, whose sum is σ = 981953280. Its totient is φ = 107495424.

The previous prime is 338283667. The next prime is 338283713. The reversal of 338283680 is 86382833.

It is a super-2 number, since 2×338283680² = 228871696308684800, which contains 22 as substring.

It is a zygodrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2075279 + ... + 2075441.

It is an arithmetic number, because the mean of its divisors is an integer number (5114340).

Almost surely, 2^338283680 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 338283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490976640).

338283680 is an abundant number, since it is smaller than the sum of its proper divisors (643669600).

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

338283680 is a wasteful number, since it uses less digits than its factorization.

338283680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 338283680 is about 18392.4897716432. The cubic root of 338283680 is about 696.7768003760.

The spelling of 338283680 in words is "three hundred thirty-eight million, two hundred eighty-three thousand, six hundred eighty".