363642 has 8 divisors (see below), whose sum is σ = 727296. Its totient is φ = 121212.

The previous prime is 363619. The next prime is 363659. The reversal of 363642 is 246363.

It is a sphenic number, since it is the product of 3 distinct primes.

363642 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 3¹¹ + 6² + 6⁵ + 3¹¹ + 4⁵ + 2⁹ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363642.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30298 + ... + 30309.

It is an arithmetic number, because the mean of its divisors is an integer number (90912).

2³⁶³⁶⁴² is an apocalyptic number.

363642 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

363642 is a wasteful number, since it uses less digits than its factorization.

363642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60612.

The product of its digits is 2592, while the sum is 24.

The square root of 363642 is about 603.0273625633. The cubic root of 363642 is about 71.3769543275.

The spelling of 363642 in words is "three hundred sixty-three thousand, six hundred forty-two".