338004280 has 64 divisors (see below), whose sum is σ = 798660000. Its totient is φ = 128561664.

The previous prime is 338004269. The next prime is 338004283. The reversal of 338004280 is 82400833.

It is a super-2 number, since 2×338004280² = 228493786596636800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338004283) 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, 75546 + ... + 79894.

Almost surely, 2^338004280 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 338004280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399330000).

338004280 is an abundant number, since it is smaller than the sum of its proper divisors (460655720).

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

338004280 is a wasteful number, since it uses less digits than its factorization.

338004280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4452 counting only the distinct ones).

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

The square root of 338004280 is about 18384.8927111365. The cubic root of 338004280 is about 696.5849169838.

The spelling of 338004280 in words is "three hundred thirty-eight million, four thousand, two hundred eighty".