338988 has 48 divisors (see below), whose sum is σ = 889056. Its totient is φ = 99840.

The previous prime is 338959. The next prime is 338993. The reversal of 338988 is 889833.

It is a happy number.

It is a super-2 number, since 2×338988² = 229825728288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338988.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6370 + ... + 6422.

It is an arithmetic number, because the mean of its divisors is an integer number (18522).

2³³⁸⁹⁸⁸ 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 338988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444528).

338988 is an abundant number, since it is smaller than the sum of its proper divisors (550068).

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

338988 is a wasteful number, since it uses less digits than its factorization.

338988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 338988 is about 582.2267599484. The cubic root of 338988 is about 69.7260037443.

It can be divided in two parts, 338 and 988, that added together give a triangular number (1326 = T₅₁).

The spelling of 338988 in words is "three hundred thirty-eight thousand, nine hundred eighty-eight".