338778 has 48 divisors (see below), whose sum is σ = 842400. Its totient is φ = 97440.

The previous prime is 338777. The next prime is 338791. The reversal of 338778 is 877833.

338778 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338778² = 229541066568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5713 + ... + 5771.

It is an arithmetic number, because the mean of its divisors is an integer number (17550).

2³³⁸⁷⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421200).

338778 is an abundant number, since it is smaller than the sum of its proper divisors (503622).

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

338778 is a wasteful number, since it uses less digits than its factorization.

338778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 104 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 338778 is about 582.0463899038. The cubic root of 338778 is about 69.7116025605.

It can be divided in two parts, 3 and 38778, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 338778 in words is "three hundred thirty-eight thousand, seven hundred seventy-eight".