369642 has 32 divisors (see below), whose sum is σ = 911232. Its totient is φ = 97344.

The previous prime is 369637. The next prime is 369647. The reversal of 369642 is 246963.

Added to its reverse (246963) it gives a triangular number (616605 = T₁₁₁₀).

It is an interprime number because it is at equal distance from previous prime (369637) and next prime (369647).

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 369642.

It is not an unprimeable number, because it can be changed into a prime (369647) by changing a digit.

369642 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (28476).

2³⁶⁹⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455616).

369642 is an abundant number, since it is smaller than the sum of its proper divisors (541590).

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

369642 is a wasteful number, since it uses less digits than its factorization.

369642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702.

The product of its digits is 7776, while the sum is 30.

The square root of 369642 is about 607.9819076255. The cubic root of 369642 is about 71.7673819818.

Adding to 369642 its reverse (246963), we get a triangular number (616605 = T₁₁₁₀).

The spelling of 369642 in words is "three hundred sixty-nine thousand, six hundred forty-two".