3954 has 8 divisors (see below), whose sum is σ = 7920. Its totient is φ = 1316.

The previous prime is 3947. The next prime is 3967. The reversal of 3954 is 4593.

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

3954 is an admirable number.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3954.

It is an unprimeable number.

3954 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 324 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (990).

2³⁹⁵⁴ is an apocalyptic number.

3954 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 (3960).

3954 is a wasteful number, since it uses less digits than its factorization.

3954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664.

The product of its digits is 540, while the sum is 21.

The square root of 3954 is about 62.8808396890. The cubic root of 3954 is about 15.8129253845.

The spelling of 3954 in words is "three thousand, nine hundred fifty-four".