3972688 has 10 divisors (see below), whose sum is σ = 7697114. Its totient is φ = 1986336.

The previous prime is 3972671. The next prime is 3972697. The reversal of 3972688 is 8862793.

3972688 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., 3968064 + 4624 = 1992^2 + 68^2 .

It is a congruent number.

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 as a sum of consecutive naturals, namely, 124131 + ... + 124162.

Almost surely, 2^3972688 is an apocalyptic number.

It is an amenable number.

3972688 is a deficient number, since it is larger than the sum of its proper divisors (3724426).

3972688 is a wasteful number, since it uses less digits than its factorization.

3972688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248301 (or 248295 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 3972688 is about 1993.1603046419. The cubic root of 3972688 is about 158.3779872822.

It can be divided in two parts, 39 and 72688, that added together give a palindrome (72727).

The spelling of 3972688 in words is "three million, nine hundred seventy-two thousand, six hundred eighty-eight".