338790 has 32 divisors (see below), whose sum is σ = 850176. Its totient is φ = 86240.

The previous prime is 338777. The next prime is 338791. The reversal of 338790 is 97833.

It is a super-2 number, since 2×338790² = 229557328200, 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 not an unprimeable number, because it can be changed into a prime (338791) by changing a digit.

338790 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 15 ways as a sum of consecutive naturals, for example, 445 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (26568).

2³³⁸⁷⁹⁰ is an apocalyptic number.

338790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425088).

338790 is an abundant number, since it is smaller than the sum of its proper divisors (511386).

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

338790 is a wasteful number, since it uses less digits than its factorization.

338790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 338790 is about 582.0566982692. The cubic root of 338790 is about 69.7124256456.

It can be divided in two parts, 338 and 790, that added together give a triangular number (1128 = T₄₇).

The spelling of 338790 in words is "three hundred thirty-eight thousand, seven hundred ninety".