3680444880 has 300 divisors, whose sum is σ = 14426102340. Its totient is φ = 840849408.

The previous prime is 3680444861. The next prime is 3680444891. The reversal of 3680444880 is 884440863.

It can be written as a sum of positive squares in 2 ways, for example, as 1123322256 + 2557122624 = 33516^2 + 50568^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1727656 + ... + 1729784.

Almost surely, 2^3680444880 is an apocalyptic number.

3680444880 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 3680444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213051170).

3680444880 is an abundant number, since it is smaller than the sum of its proper divisors (10745657460).

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

3680444880 is a wasteful number, since it uses less digits than its factorization.

3680444880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3680444880 is about 60666.6702564102. The cubic root of 3680444880 is about 1543.9507375980.

The spelling of 3680444880 in words is "three billion, six hundred eighty million, four hundred forty-four thousand, eight hundred eighty".