39368 has 32 divisors (see below), whose sum is σ = 91200. Its totient is φ = 15552.

The previous prime is 39367. The next prime is 39371. The reversal of 39368 is 86393.

39368 = T₆₂ + T₆₃ + ... + T₇₇.

39368 is nontrivially palindromic in base 3.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 39368.

It is not an unprimeable number, because it can be changed into a prime (39367) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1046 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (2850).

39368 is a Friedman number, since it can be written as 6*(3/9+3^8), using all its digits and the basic arithmetic operations.

2³⁹³⁶⁸ is an apocalyptic number.

39368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45600).

39368 is an abundant number, since it is smaller than the sum of its proper divisors (51832).

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

39368 is a wasteful number, since it uses less digits than its factorization.

39368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 65 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 39368 is about 198.4137092038. The cubic root of 39368 is about 34.0184444330.

The spelling of 39368 in words is "thirty-nine thousand, three hundred sixty-eight".