3917680 has 40 divisors (see below), whose sum is σ = 9811872. Its totient is φ = 1446144.

The previous prime is 3917623. The next prime is 3917681. The reversal of 3917680 is 867193.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3917681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 844 + ... + 2923.

Almost surely, 2^3917680 is an apocalyptic number.

It is an amenable number.

3917680 is an abundant number, since it is smaller than the sum of its proper divisors (5894192).

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

3917680 is a wasteful number, since it uses less digits than its factorization.

3917680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 3917680 is about 1979.3130121333. The cubic root of 3917680 is about 157.6435912297.

The spelling of 3917680 in words is "three million, nine hundred seventeen thousand, six hundred eighty".