338141440 has 144 divisors (see below), whose sum is σ = 997210368. Its totient is φ = 106979328.

The previous prime is 338141417. The next prime is 338141443. The reversal of 338141440 is 44141833.

338141440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338141440² = 228679266890547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 338141399 and 338141408.

It is not an unprimeable number, because it can be changed into a prime (338141443) 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, 115029 + ... + 117931.

It is an arithmetic number, because the mean of its divisors is an integer number (6925072).

Almost surely, 2^338141440 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 338141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498605184).

338141440 is an abundant number, since it is smaller than the sum of its proper divisors (659068928).

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

338141440 is a wasteful number, since it uses less digits than its factorization.

338141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 338141440 is about 18388.6225694042. The cubic root of 338141440 is about 696.6791274935.

It can be divided in two parts, 338 and 141440, that added together give a triangular number (141778 = T₅₃₂).

The spelling of 338141440 in words is "three hundred thirty-eight million, one hundred forty-one thousand, four hundred forty".