3627328128 has 64 divisors (see below), whose sum is σ = 9646972320. Its totient is φ = 1207618560.

The previous prime is 3627328093. The next prime is 3627328163. The reversal of 3627328128 is 8218237263.

It is an interprime number because it is at equal distance from previous prime (3627328093) and next prime (3627328163).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3627328128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331383 + ... + 342153.

Almost surely, 2^3627328128 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 3627328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823486160).

3627328128 is an abundant number, since it is smaller than the sum of its proper divisors (6019644192).

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

3627328128 is a wasteful number, since it uses less digits than its factorization.

3627328128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11665 (or 11653 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 3627328128 is about 60227.3038413642. The cubic root of 3627328128 is about 1536.4872043881.

The spelling of 3627328128 in words is "three billion, six hundred twenty-seven million, three hundred twenty-eight thousand, one hundred twenty-eight".