6738 has 8 divisors (see below), whose sum is σ = 13488. Its totient is φ = 2244.

The previous prime is 6737. The next prime is 6761. The reversal of 6738 is 8376.

It is a sphenic number, since it is the product of 3 distinct primes.

6738 is an admirable number.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (6733) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 556 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (1686).

2⁶⁷³⁸ is an apocalyptic number.

6738 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (6744).

6738 is a wasteful number, since it uses less digits than its factorization.

6738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128.

The product of its digits is 1008, while the sum is 24.

The square root of 6738 is about 82.0853214649. The cubic root of 6738 is about 18.8876098070.

It can be divided in two parts, 67 and 38, that added together give a triangular number (105 = T₁₄).

The spelling of 6738 in words is "six thousand, seven hundred thirty-eight".