3680827584 has 112 divisors (see below), whose sum is σ = 11192353536. Its totient is φ = 1045785600.

The previous prime is 3680827571. The next prime is 3680827589. The reversal of 3680827584 is 4857280863.

It is a happy number.

3680827584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (3680827589) 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, 235699 + ... + 250829.

It is an arithmetic number, because the mean of its divisors is an integer number (99931728).

Almost surely, 2^3680827584 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 3680827584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596176768).

3680827584 is an abundant number, since it is smaller than the sum of its proper divisors (7511525952).

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

3680827584 is a wasteful number, since it uses less digits than its factorization.

3680827584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15334 (or 15324 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 3680827584 is about 60669.8243280793. The cubic root of 3680827584 is about 1544.0042506617.

The spelling of 3680827584 in words is "three billion, six hundred eighty million, eight hundred twenty-seven thousand, five hundred eighty-four".