3679680 has 56 divisors (see below), whose sum is σ = 11686032. Its totient is φ = 980992.

The previous prime is 3679679. The next prime is 3679681. The reversal of 3679680 is 869763.

It is an interprime number because it is at equal distance from previous prime (3679679) and next prime (3679681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3679681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 957 + ... + 2876.

Almost surely, 2^3679680 is an apocalyptic number.

3679680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3679680 is an abundant number, since it is smaller than the sum of its proper divisors (8006352).

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

3679680 is a wasteful number, since it uses less digits than its factorization.

3679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3679680 is about 1918.2492017462. The cubic root of 3679680 is about 154.3843774183.

The spelling of 3679680 in words is "three million, six hundred seventy-nine thousand, six hundred eighty".