338589020 has 120 divisors (see below), whose sum is σ = 906313968. Its totient is φ = 105369600.

The previous prime is 338589001. The next prime is 338589047. The reversal of 338589020 is 20985833.

338589020 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 2×338589020² = 229285048929120800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 527900 + ... + 528540.

Almost surely, 2^338589020 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 338589020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453156984).

338589020 is an abundant number, since it is smaller than the sum of its proper divisors (567724948).

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

338589020 is a wasteful number, since it uses less digits than its factorization.

338589020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 338589020 is about 18400.7885700586. The cubic root of 338589020 is about 696.9863777822.

The spelling of 338589020 in words is "three hundred thirty-eight million, five hundred eighty-nine thousand, twenty".