3661659584 has 56 divisors (see below), whose sum is σ = 7934815728. Its totient is φ = 1662679040.

The previous prime is 3661659583. The next prime is 3661659587. The reversal of 3661659584 is 4859561663.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661659583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 896972 + ... + 901044.

It is an arithmetic number, because the mean of its divisors is an integer number (141693138).

Almost surely, 2^3661659584 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 3661659584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967407864).

3661659584 is an abundant number, since it is smaller than the sum of its proper divisors (4273156144).

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

3661659584 is a wasteful number, since it uses less digits than its factorization.

3661659584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5373 (or 5363 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 53.

The square root of 3661659584 is about 60511.6483331928. The cubic root of 3661659584 is about 1541.3194381664.

The spelling of 3661659584 in words is "three billion, six hundred sixty-one million, six hundred fifty-nine thousand, five hundred eighty-four".