3973608 has 48 divisors (see below), whose sum is σ = 10853700. Its totient is φ = 1313280.

The previous prime is 3973579. The next prime is 3973633. The reversal of 3973608 is 8063793.

3973608 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3392964 + 580644 = 1842^2 + 762^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 16368 + ... + 16608.

Almost surely, 2^3973608 is an apocalyptic number.

It is an amenable number.

3973608 is an abundant number, since it is smaller than the sum of its proper divisors (6880092).

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

3973608 is a wasteful number, since it uses less digits than its factorization.

3973608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3973608 is about 1993.3910805459. The cubic root of 3973608 is about 158.3902121286.

It can be divided in two parts, 397 and 3608, that added together give a triangular number (4005 = T₈₉).

The spelling of 3973608 in words is "three million, nine hundred seventy-three thousand, six hundred eight".