3973680 has 60 divisors (see below), whose sum is σ = 13347360. Its totient is φ = 1059456.

The previous prime is 3973661. The next prime is 3973691. The reversal of 3973680 is 863793.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2040 + ... + 3479.

It is an arithmetic number, because the mean of its divisors is an integer number (222456).

Almost surely, 2^3973680 is an apocalyptic number.

3973680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3973680 is an abundant number, since it is smaller than the sum of its proper divisors (9373680).

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

3973680 is a wasteful number, since it uses less digits than its factorization.

3973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5529 counting only the distinct ones).

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

The square root of 3973680 is about 1993.4091401416. The cubic root of 3973680 is about 158.3911687761.

The spelling of 3973680 in words is "three million, nine hundred seventy-three thousand, six hundred eighty".