3937680 has 80 divisors (see below), whose sum is σ = 13570560. Its totient is φ = 1049472.

The previous prime is 3937679. The next prime is 3937691. The reversal of 3937680 is 867393.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1249 + ... + 3071.

It is an arithmetic number, because the mean of its divisors is an integer number (169632).

Almost surely, 2^3937680 is an apocalyptic number.

3937680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3937680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280).

3937680 is an abundant number, since it is smaller than the sum of its proper divisors (9632880).

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

3937680 is a wasteful number, since it uses less digits than its factorization.

3937680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1833 counting only the distinct ones).

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

The square root of 3937680 is about 1984.3588385169. The cubic root of 3937680 is about 157.9113961370.

The spelling of 3937680 in words is "three million, nine hundred thirty-seven thousand, six hundred eighty".