3968672 has 12 divisors (see below), whose sum is σ = 7813386. Its totient is φ = 1984320.

The previous prime is 3968669. The next prime is 3968717. The reversal of 3968672 is 2768693.

It can be written as a sum of positive squares in only one way, i.e., 2421136 + 1547536 = 1556^2 + 1244^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61979 + ... + 62042.

Almost surely, 2^3968672 is an apocalyptic number.

3968672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3968672 is a deficient number, since it is larger than the sum of its proper divisors (3844714).

3968672 is a wasteful number, since it uses less digits than its factorization.

3968672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124031 (or 124023 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 3968672 is about 1992.1526045963. The cubic root of 3968672 is about 158.3246010573.

The spelling of 3968672 in words is "three million, nine hundred sixty-eight thousand, six hundred seventy-two".