3680880 has 120 divisors (see below), whose sum is σ = 13316112. Its totient is φ = 838656.

The previous prime is 3680869. The next prime is 3680881. The reversal of 3680880 is 880863.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11604 + ... + 11916.

Almost surely, 2^3680880 is an apocalyptic number.

3680880 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 3680880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658056).

3680880 is an abundant number, since it is smaller than the sum of its proper divisors (9635232).

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

3680880 is a wasteful number, since it uses less digits than its factorization.

3680880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3680880 is about 1918.5619614701. The cubic root of 3680880 is about 154.4011579642.

It can be divided in two parts, 3680 and 880, that added together give a triangular number (4560 = T₉₅).

The spelling of 3680880 in words is "three million, six hundred eighty thousand, eight hundred eighty".