363944 has 32 divisors (see below), whose sum is σ = 799680. Its totient is φ = 152064.

The previous prime is 363941. The next prime is 363947. The reversal of 363944 is 449363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (363941) and next prime (363947).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363944.

It is not an unprimeable number, because it can be changed into a prime (363941) 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, 3704 + ... + 3800.

It is an arithmetic number, because the mean of its divisors is an integer number (24990).

2³⁶³⁹⁴⁴ 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 363944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399840).

363944 is an abundant number, since it is smaller than the sum of its proper divisors (435736).

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

363944 is a wasteful number, since it uses less digits than its factorization.

363944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

The square root of 363944 is about 603.2777138267. The cubic root of 363944 is about 71.3967080740.

The spelling of 363944 in words is "three hundred sixty-three thousand, nine hundred forty-four".