738368 has 28 divisors (see below), whose sum is σ = 1493520. Its totient is φ = 362112.

The previous prime is 738349. The next prime is 738373. The reversal of 738368 is 863837.

Its product of digits (24192) is a multiple of the sum of its prime divisors (224).

It is a nialpdrome in base 16.

It is an unprimeable number.

738368 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, 5243 + ... + 5381.

It is an arithmetic number, because the mean of its divisors is an integer number (53340).

2⁷³⁸³⁶⁸ 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 738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746760).

738368 is an abundant number, since it is smaller than the sum of its proper divisors (755152).

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

738368 is a wasteful number, since it uses less digits than its factorization.

738368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 738368 is about 859.2834223933. The cubic root of 738368 is about 90.3838747441.

The spelling of 738368 in words is "seven hundred thirty-eight thousand, three hundred sixty-eight".