3681886080 has 128 divisors (see below), whose sum is σ = 11752970400. Its totient is φ = 980418560.

The previous prime is 3681886079. The next prime is 3681886127. The reversal of 3681886080 is 806881863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 2612416 + ... + 2613824.

Almost surely, 2^3681886080 is an apocalyptic number.

3681886080 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 3681886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5876485200).

3681886080 is an abundant number, since it is smaller than the sum of its proper divisors (8071084320).

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

3681886080 is a wasteful number, since it uses less digits than its factorization.

3681886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 3681886080 is about 60678.5471151049. The cubic root of 3681886080 is about 1544.1522396352.

The spelling of 3681886080 in words is "three billion, six hundred eighty-one million, eight hundred eighty-six thousand, eighty".