3931680 has 48 divisors (see below), whose sum is σ = 12386304. Its totient is φ = 1048320.

The previous prime is 3931667. The next prime is 3931687. The reversal of 3931680 is 861393.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3931687) 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, 3616 + ... + 4575.

It is an arithmetic number, because the mean of its divisors is an integer number (258048).

Almost surely, 2^3931680 is an apocalyptic number.

3931680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3931680 is an abundant number, since it is smaller than the sum of its proper divisors (8454624).

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

3931680 is a wasteful number, since it uses less digits than its factorization.

3931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8209 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3931680 is about 1982.8464388348. The cubic root of 3931680 is about 157.8311500685.

The spelling of 3931680 in words is "three million, nine hundred thirty-one thousand, six hundred eighty".