3972648 has 16 divisors (see below), whose sum is σ = 9931680. Its totient is φ = 1324208.

The previous prime is 3972643. The next prime is 3972649. The reversal of 3972648 is 8462793.

3972648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3972643) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 82740 + ... + 82787.

It is an arithmetic number, because the mean of its divisors is an integer number (620730).

Almost surely, 2^3972648 is an apocalyptic number.

It is an amenable number.

3972648 is an abundant number, since it is smaller than the sum of its proper divisors (5959032).

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

3972648 is a wasteful number, since it uses less digits than its factorization.

3972648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165536 (or 165532 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 3972648 is about 1993.1502703008. The cubic root of 3972648 is about 158.3774557243.

The spelling of 3972648 in words is "three million, nine hundred seventy-two thousand, six hundred forty-eight".