3842 has 8 divisors (see below), whose sum is σ = 6156. Its totient is φ = 1792.

The previous prime is 3833. The next prime is 3847. The reversal of 3842 is 2483.

3842 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 3721 + 121 = 61^2 + 11^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (17).

3842 is an undulating number in base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3842.

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 3842.

It is not an unprimeable number, because it can be changed into a prime (3847) by changing a digit.

3842 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 90.

2^{3842} is an apocalyptic number.

3842 is a deficient number, since it is larger than the sum of its proper divisors (2314).

3842 is a wasteful number, since it uses less digits than its factorization.

3842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132.

The product of its digits is 192, while the sum is 17.

The square root of 3842 is about 61.9838688692. The cubic root of 3842 is about 15.6621887509.

It can be divided in two parts, 38 and 42, that multiplied together give a triangular number (1596 = T_{56}).

The spelling of 3842 in words is "three thousand, eight hundred forty-two".

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