361944 has 48 divisors (see below), whose sum is σ = 1071720. Its totient is φ = 109440.

The previous prime is 361943. The next prime is 361961. The reversal of 361944 is 449163.

361944 is a `hidden beast` number, since 3 + 619 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564 + ... + 1020.

2³⁶¹⁹⁴⁴ 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 361944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535860).

361944 is an abundant number, since it is smaller than the sum of its proper divisors (709776).

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

361944 is a wasteful number, since it uses less digits than its factorization.

361944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 361944 is about 601.6178188850. The cubic root of 361944 is about 71.2656844511.

It can be divided in two parts, 3619 and 44, that added together give a palindrome (3663).

The spelling of 361944 in words is "three hundred sixty-one thousand, nine hundred forty-four".