3676880 has 80 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 1336320.

The previous prime is 3676867. The next prime is 3676889. The reversal of 3676880 is 886763.

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

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3676889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62291 + ... + 62349.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^3676880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

3676880 is an abundant number, since it is smaller than the sum of its proper divisors (5697520).

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

3676880 is a wasteful number, since it uses less digits than its factorization.

3676880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 3676880 is about 1917.5192306728. The cubic root of 3676880 is about 154.3452086185.

The spelling of 3676880 in words is "three million, six hundred seventy-six thousand, eight hundred eighty".