39738 has 16 divisors (see below), whose sum is σ = 82080. Its totient is φ = 12816.

The previous prime is 39733. The next prime is 39749. The reversal of 39738 is 83793.

It is a plaindrome in base 7.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (39733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2³⁹⁷³⁸ is an apocalyptic number.

39738 is an abundant number, since it is smaller than the sum of its proper divisors (42342).

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 (41040).

39738 is a wasteful number, since it uses less digits than its factorization.

39738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221.

The product of its digits is 4536, while the sum is 30.

The square root of 39738 is about 199.3439239104. The cubic root of 39738 is about 34.1246863608.

It can be divided in two parts, 397 and 38, that added together give a triangular number (435 = T₂₉).

The spelling of 39738 in words is "thirty-nine thousand, seven hundred thirty-eight".