338410240 has 144 divisors (see below), whose sum is σ = 935988480. Its totient is φ = 114831360.

The previous prime is 338410207. The next prime is 338410271. The reversal of 338410240 is 42014833.

338410240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338410240² = 229042981073715200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603735 + ... + 1603945.

It is an arithmetic number, because the mean of its divisors is an integer number (6499920).

Almost surely, 2^338410240 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 338410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467994240).

338410240 is an abundant number, since it is smaller than the sum of its proper divisors (597578240).

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

338410240 is a wasteful number, since it uses less digits than its factorization.

338410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 338410240 is about 18395.9299846461. The cubic root of 338410240 is about 696.8636831532.

The spelling of 338410240 in words is "three hundred thirty-eight million, four hundred ten thousand, two hundred forty".