368352 has 36 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 122688.

The previous prime is 368327. The next prime is 368359. The reversal of 368352 is 253863.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368352.

It is not an unprimeable number, because it can be changed into a prime (368359) by changing a digit.

368352 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 5 ways as a sum of consecutive naturals, for example, 352 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (29120).

2³⁶⁸³⁵² is an apocalyptic number.

368352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

368352 is an abundant number, since it is smaller than the sum of its proper divisors (679968).

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

368352 is a wasteful number, since it uses less digits than its factorization.

368352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1284 counting only the distinct ones).

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

The square root of 368352 is about 606.9200935873. The cubic root of 368352 is about 71.6837985604.

The spelling of 368352 in words is "three hundred sixty-eight thousand, three hundred fifty-two".