338784 has 24 divisors (see below), whose sum is σ = 889560. Its totient is φ = 112896.

The previous prime is 338777. The next prime is 338791. The reversal of 338784 is 487833.

338784 = 190² + 191² + ... + 198².

It is an interprime number because it is at equal distance from previous prime (338777) and next prime (338791).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×338784² = 229549197312, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338784.

It is an unprimeable number.

338784 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 3 ways as a sum of consecutive naturals, for example, 1669 + ... + 1860.

It is an arithmetic number, because the mean of its divisors is an integer number (37065).

2³³⁸⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

338784 is an abundant number, since it is smaller than the sum of its proper divisors (550776).

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

338784 is a wasteful number, since it uses less digits than its factorization.

338784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3534 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 338784 is about 582.0515441093. The cubic root of 338784 is about 69.7120141055.

The spelling of 338784 in words is "three hundred thirty-eight thousand, seven hundred eighty-four".