338550368 has 48 divisors (see below), whose sum is σ = 719500320. Its totient is φ = 155882496.

The previous prime is 338550367. The next prime is 338550383. The reversal of 338550368 is 863055833.

It is a super-2 number, since 2×338550368² = 229232703345870848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338550361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256013 + ... + 257331.

It is an arithmetic number, because the mean of its divisors is an integer number (14989590).

Almost surely, 2^338550368 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 338550368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359750160).

338550368 is an abundant number, since it is smaller than the sum of its proper divisors (380949952).

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

338550368 is a wasteful number, since it uses less digits than its factorization.

338550368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The square root of 338550368 is about 18399.7382590079. The cubic root of 338550368 is about 696.9598550254.

The spelling of 338550368 in words is "three hundred thirty-eight million, five hundred fifty thousand, three hundred sixty-eight".