38196 has 18 divisors (see below), whose sum is σ = 96642. Its totient is φ = 12720.

The previous prime is 38189. The next prime is 38197. The reversal of 38196 is 69183.

It can be written as a sum of positive squares in only one way, i.e., 34596 + 3600 = 186^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 14.

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 38196.

It is not an unprimeable number, because it can be changed into a prime (38197) by changing a digit.

38196 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 495 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (5369).

2³⁸¹⁹⁶ is an apocalyptic number.

38196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38196 is an abundant number, since it is smaller than the sum of its proper divisors (58446).

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

38196 is a wasteful number, since it uses less digits than its factorization.

38196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1066 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 38196 is about 195.4379696988. The cubic root of 38196 is about 33.6774573564.

The spelling of 38196 in words is "thirty-eight thousand, one hundred ninety-six".