3968676 has 42 divisors (see below), whose sum is σ = 10420662. Its totient is φ = 1321920.

The previous prime is 3968669. The next prime is 3968717. The reversal of 3968676 is 6768693.

3968676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2802276 + 1166400 = 1674^2 + 1080^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2236 + ... + 3596.

It is an arithmetic number, because the mean of its divisors is an integer number (248111).

Almost surely, 2^3968676 is an apocalyptic number.

3968676 is a gapful number since it is divisible by the number (36) 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 3968676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210331).

3968676 is an abundant number, since it is smaller than the sum of its proper divisors (6451986).

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

3968676 is a wasteful number, since it uses less digits than its factorization.

3968676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1366 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3968676 is about 1992.1536085352. The cubic root of 3968676 is about 158.3246542488.

The spelling of 3968676 in words is "three million, nine hundred sixty-eight thousand, six hundred seventy-six".