338880 has 56 divisors (see below), whose sum is σ = 1078992. Its totient is φ = 90112.

The previous prime is 338867. The next prime is 338893. The reversal of 338880 is 88833.

It is an interprime number because it is at equal distance from previous prime (338867) and next prime (338893).

It is a super-2 number, since 2×338880² = 229679308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

338880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 784 + ... + 1136.

2³³⁸⁸⁸⁰ is an apocalyptic number.

338880 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 338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539496).

338880 is an abundant number, since it is smaller than the sum of its proper divisors (740112).

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

338880 is a wasteful number, since it uses less digits than its factorization.

338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 338880 is about 582.1340051912. The cubic root of 338880 is about 69.7185981643.

Subtracting from 338880 its reverse (88833), we obtain a cube (250047 = 63³).

It can be divided in two parts, 3 and 38880, that added together give a palindrome (38883).

The spelling of 338880 in words is "three hundred thirty-eight thousand, eight hundred eighty".