363940 has 24 divisors (see below), whose sum is σ = 790272. Its totient is φ = 140640.

The previous prime is 363917. The next prime is 363941. The reversal of 363940 is 49363.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363940.

It is not an unprimeable number, because it can be changed into a prime (363941) by changing a digit.

363940 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 7 ways as a sum of consecutive naturals, for example, 327 + ... + 913.

It is an arithmetic number, because the mean of its divisors is an integer number (32928).

2³⁶³⁹⁴⁰ 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 363940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395136).

363940 is an abundant number, since it is smaller than the sum of its proper divisors (426332).

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

363940 is a wasteful number, since it uses less digits than its factorization.

363940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 363940 is about 603.2743985949. The cubic root of 363940 is about 71.3964465064.

The spelling of 363940 in words is "three hundred sixty-three thousand, nine hundred forty".