368742 has 32 divisors (see below), whose sum is σ = 831744. Its totient is φ = 108000.

The previous prime is 368737. The next prime is 368743. The reversal of 368742 is 247863.

Added to its reverse (247863) it gives a triangular number (616605 = T₁₁₁₀).

368742 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368742.

It is not an unprimeable number, because it can be changed into a prime (368743) by changing a digit.

368742 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 15 ways as a sum of consecutive naturals, for example, 2367 + ... + 2517.

It is an arithmetic number, because the mean of its divisors is an integer number (25992).

2³⁶⁸⁷⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415872).

368742 is an abundant number, since it is smaller than the sum of its proper divisors (463002).

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

368742 is a wasteful number, since it uses less digits than its factorization.

368742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204.

The product of its digits is 8064, while the sum is 30.

The square root of 368742 is about 607.2413029431. The cubic root of 368742 is about 71.7090885192.

Adding to 368742 its reverse (247863), we get a triangular number (616605 = T₁₁₁₀).

It can be divided in two parts, 36 and 8742, that added together give a palindrome (8778).

The spelling of 368742 in words is "three hundred sixty-eight thousand, seven hundred forty-two".