338322240 has 168 divisors, whose sum is σ = 1179210240. Its totient is φ = 89017344.

The previous prime is 338322233. The next prime is 338322263. The reversal of 338322240 is 42223833.

338322240 is a `hidden beast` number, since 338 + 322 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×338322240² = 228923876157235200, which contains 22 as substring.

It is a congruent number.

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, 226777 + ... + 228263.

Almost surely, 2^338322240 is an apocalyptic number.

338322240 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 338322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589605120).

338322240 is an abundant number, since it is smaller than the sum of its proper divisors (840888000).

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

338322240 is a wasteful number, since it uses less digits than its factorization.

338322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 338322240 is about 18393.5379957201. The cubic root of 338322240 is about 696.8032739091.

The spelling of 338322240 in words is "three hundred thirty-eight million, three hundred twenty-two thousand, two hundred forty".