39330 has 48 divisors (see below), whose sum is σ = 112320. Its totient is φ = 9504.

The previous prime is 39323. The next prime is 39341. The reversal of 39330 is 3393.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 7.

It is a zygodrome in base 7.

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 39330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699 + ... + 1721.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

2³⁹³³⁰ is an apocalyptic number.

39330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160).

39330 is an abundant number, since it is smaller than the sum of its proper divisors (72990).

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

39330 is a wasteful number, since it uses less digits than its factorization.

39330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 39330 is about 198.3179265725. The cubic root of 39330 is about 34.0074954640.

Subtracting from 39330 its reverse (3393), we obtain a cube (35937 = 33³).

The spelling of 39330 in words is "thirty-nine thousand, three hundred thirty".