38742 has 16 divisors (see below), whose sum is σ = 84672. Its totient is φ = 11720.

The previous prime is 38737. The next prime is 38747. The reversal of 38742 is 24783.

38742 = T₁₈ + T₁₉ + ... + T₆₁.

It is an interprime number because it is at equal distance from previous prime (38737) and next prime (38747).

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 38742.

It is not an unprimeable number, because it can be changed into a prime (38747) by changing a digit.

38742 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, 228 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2³⁸⁷⁴² is an apocalyptic number.

38742 is an abundant number, since it is smaller than the sum of its proper divisors (45930).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336).

38742 is a wasteful number, since it uses less digits than its factorization.

38742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603.

The product of its digits is 1344, while the sum is 24.

The square root of 38742 is about 196.8298757811. The cubic root of 38742 is about 33.8371683607.

It can be divided in two parts, 38 and 742, that added together give a triangular number (780 = T₃₉).

The spelling of 38742 in words is "thirty-eight thousand, seven hundred forty-two".