338441040 has 360 divisors, whose sum is σ = 1354553928. Its totient is φ = 75479040.

The previous prime is 338441039. The next prime is 338441041. The reversal of 338441040 is 40144833.

It is an interprime number because it is at equal distance from previous prime (338441039) and next prime (338441041).

It can be written as a sum of positive squares in 4 ways, for example, as 3111696 + 335329344 = 1764^2 + 18312^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×338441040² = 229084675112563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338440995 and 338441013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338441041) 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 71 ways as a sum of consecutive naturals, for example, 1869750 + ... + 1869930.

Almost surely, 2^338441040 is an apocalyptic number.

338441040 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 338441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677276964).

338441040 is an abundant number, since it is smaller than the sum of its proper divisors (1016112888).

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

338441040 is a wasteful number, since it uses less digits than its factorization.

338441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 338441040 is about 18396.7671072936. The cubic root of 338441040 is about 696.8848239145.

Adding to 338441040 its reverse (40144833), we get a palindrome (378585873).

The spelling of 338441040 in words is "three hundred thirty-eight million, four hundred forty-one thousand, forty".