338827840 has 112 divisors (see below), whose sum is σ = 880750080. Its totient is φ = 123402240.

The previous prime is 338827787. The next prime is 338827849. The reversal of 338827840 is 48728833.

It is a super-2 number, since 2×338827840² = 229608610318131200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338827849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328125 + ... + 329155.

It is an arithmetic number, because the mean of its divisors is an integer number (7863840).

Almost surely, 2^338827840 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 338827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440375040).

338827840 is an abundant number, since it is smaller than the sum of its proper divisors (541922240).

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

338827840 is a wasteful number, since it uses less digits than its factorization.

338827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 338827840 is about 18407.2768219528. The cubic root of 338827840 is about 697.1502097995.

The spelling of 338827840 in words is "three hundred thirty-eight million, eight hundred twenty-seven thousand, eight hundred forty".