338887340 has 96 divisors (see below), whose sum is σ = 800319744. Its totient is φ = 119496960.

The previous prime is 338887321. The next prime is 338887361. The reversal of 338887340 is 43788833.

It is a super-2 number, since 2×338887340² = 229689258424551200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 338887291 and 338887300.

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, 1223282 + ... + 1223558.

It is an arithmetic number, because the mean of its divisors is an integer number (8336664).

Almost surely, 2^338887340 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 338887340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400159872).

338887340 is an abundant number, since it is smaller than the sum of its proper divisors (461432404).

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

338887340 is a wasteful number, since it uses less digits than its factorization.

338887340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 338887340 is about 18408.8929596540. The cubic root of 338887340 is about 697.1910151926.

The spelling of 338887340 in words is "three hundred thirty-eight million, eight hundred eighty-seven thousand, three hundred forty".