3678 has 8 divisors (see below), whose sum is σ = 7368. Its totient is φ = 1224.

The previous prime is 3677. The next prime is 3691. The reversal of 3678 is 8763.

3678 is nontrivially palindromic in base 16.

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

3678 is an admirable number.

It is a d-powerful number, because it can be written as **3**^{6} + **7**^{4} + **6**^{2} + **8**^{3} .

It is an alternating number because its digits alternate between odd and even.

3678 is an undulating number in base 16.

It is a plaindrome in base 10, base 13 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3671) 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, 301 + ... + 312.

It is an arithmetic number, because the mean of its divisors is an integer number (921).

2^{3678} is an apocalyptic number.

3678 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 (3684).

3678 is a wasteful number, since it uses less digits than its factorization.

3678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618.

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

The square root of 3678 is about 60.6465168002. The cubic root of 3678 is about 15.4360878524.

The spelling of 3678 in words is "three thousand, six hundred seventy-eight".

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