338437440 has 280 divisors, whose sum is σ = 1314431712. Its totient is φ = 81976320.

The previous prime is 338437423. The next prime is 338437441. The reversal of 338437440 is 44734833.

It is a happy number.

338437440 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 2×338437440² = 229079801587507200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 338437395 and 338437404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338437441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284527 + ... + 285713.

Almost surely, 2^338437440 is an apocalyptic number.

338437440 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 338437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657215856).

338437440 is an abundant number, since it is smaller than the sum of its proper divisors (975994272).

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

338437440 is a wasteful number, since it uses less digits than its factorization.

338437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 338437440 is about 18396.6692637553. The cubic root of 338437440 is about 696.8823529827.

The spelling of 338437440 in words is "three hundred thirty-eight million, four hundred thirty-seven thousand, four hundred forty".