3628884581588 has 72 divisors (see below), whose sum is σ = 7514771171040. Its totient is φ = 1528430783040.

The previous prime is 3628884581587. The next prime is 3628884581611. The reversal of 3628884581588 is 8851854888263.

It is a super-2 number, since 2×3628884581588² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628884581587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41251106 + ... + 41338982.

It is an arithmetic number, because the mean of its divisors is an integer number (104371821820).

Almost surely, 2^{3628884581588} 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 3628884581588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757385585520).

3628884581588 is an abundant number, since it is smaller than the sum of its proper divisors (3885886589452).

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

3628884581588 is a wasteful number, since it uses less digits than its factorization.

3628884581588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91525 (or 91516 counting only the distinct ones).

The product of its digits is 943718400, while the sum is 74.

The spelling of 3628884581588 in words is "three trillion, six hundred twenty-eight billion, eight hundred eighty-four million, five hundred eighty-one thousand, five hundred eighty-eight".