3683880 has 96 divisors (see below), whose sum is σ = 12448800. Its totient is φ = 979776.

The previous prime is 3683879. The next prime is 3683909. The reversal of 3683880 is 883863.

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 23 ways as a sum of consecutive naturals, for example, 9531 + ... + 9909.

It is an arithmetic number, because the mean of its divisors is an integer number (129675).

Almost surely, 2^3683880 is an apocalyptic number.

3683880 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 3683880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224400).

3683880 is an abundant number, since it is smaller than the sum of its proper divisors (8764920).

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

3683880 is a wasteful number, since it uses less digits than its factorization.

3683880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3683880 is about 1919.3436378096. The cubic root of 3683880 is about 154.4430933792.

The spelling of 3683880 in words is "three million, six hundred eighty-three thousand, eight hundred eighty".