338652 has 36 divisors (see below), whose sum is σ = 895440. Its totient is φ = 107712.

The previous prime is 338609. The next prime is 338659. The reversal of 338652 is 256833.

338652 is a `hidden beast` number, since 3 + 3 + 8 + 652 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×338652² = 229370354208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338659) by changing a digit.

338652 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 11 ways as a sum of consecutive naturals, for example, 624 + ... + 1032.

2³³⁸⁶⁵² 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 338652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447720).

338652 is an abundant number, since it is smaller than the sum of its proper divisors (556788).

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

338652 is a wasteful number, since it uses less digits than its factorization.

338652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 437 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 338652 is about 581.9381410425. The cubic root of 338652 is about 69.7029589934.

It can be divided in two parts, 338 and 652, that added together give a triangular number (990 = T₄₄).

The spelling of 338652 in words is "three hundred thirty-eight thousand, six hundred fifty-two".