338965440 has 112 divisors (see below), whose sum is σ = 1174089600. Its totient is φ = 82170880.

The previous prime is 338965423. The next prime is 338965441. The reversal of 338965440 is 44569833.

It is a super-2 number, since 2×338965440² = 229795139028787200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338965392 and 338965401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338965441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5490 + ... + 26609.

Almost surely, 2^338965440 is an apocalyptic number.

338965440 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 338965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587044800).

338965440 is an abundant number, since it is smaller than the sum of its proper divisors (835124160).

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

338965440 is a wasteful number, since it uses less digits than its factorization.

338965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32130 (or 32120 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 338965440 is about 18411.0140948292. The cubic root of 338965440 is about 697.2445693088.

The spelling of 338965440 in words is "three hundred thirty-eight million, nine hundred sixty-five thousand, four hundred forty".