338488020 has 288 divisors, whose sum is σ = 1197600768. Its totient is φ = 76640256.

The previous prime is 338488019. The next prime is 338488043. The reversal of 338488020 is 20884833.

It is a happy number.

It is a super-2 number, since 2×338488020² = 229148279367040800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2665197 + ... + 2665323.

It is an arithmetic number, because the mean of its divisors is an integer number (4158336).

Almost surely, 2^338488020 is an apocalyptic number.

338488020 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 338488020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598800384).

338488020 is an abundant number, since it is smaller than the sum of its proper divisors (859112748).

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

338488020 is a wasteful number, since it uses less digits than its factorization.

338488020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 338488020 is about 18398.0439177647. The cubic root of 338488020 is about 696.9170679693.

The spelling of 338488020 in words is "three hundred thirty-eight million, four hundred eighty-eight thousand, twenty".