361344 has 32 divisors (see below), whose sum is σ = 960840. Its totient is φ = 120320.

The previous prime is 361337. The next prime is 361349. The reversal of 361344 is 443163.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 361344.

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 361344.

It is not an unprimeable number, because it can be changed into a prime (361349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87 + ... + 854.

2³⁶¹³⁴⁴ 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 361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480420).

361344 is an abundant number, since it is smaller than the sum of its proper divisors (599496).

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

361344 is an equidigital number, since it uses as much as digits as its factorization.

361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 946 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 361344 is about 601.1189566134. The cubic root of 361344 is about 71.2262832729.

It can be divided in two parts, 36 and 1344, that multiplied together give a palindrome (48384).

The spelling of 361344 in words is "three hundred sixty-one thousand, three hundred forty-four".