338614080 has 224 divisors, whose sum is σ = 1259677440. Its totient is φ = 75448320.

The previous prime is 338614079. The next prime is 338614093. The reversal of 338614080 is 80416833.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×338614080² = 229318990348492800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274906 + ... + 276134.

It is an arithmetic number, because the mean of its divisors is an integer number (5623560).

Almost surely, 2^338614080 is an apocalyptic number.

338614080 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 338614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629838720).

338614080 is an abundant number, since it is smaller than the sum of its proper divisors (921063360).

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

338614080 is a wasteful number, since it uses less digits than its factorization.

338614080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 338614080 is about 18401.4695065367. The cubic root of 338614080 is about 697.0035727164.

The spelling of 338614080 in words is "three hundred thirty-eight million, six hundred fourteen thousand, eighty".