3726088128 has 224 divisors, whose sum is σ = 12676753920. Its totient is φ = 1064316672.

The previous prime is 3726088123. The next prime is 3726088189. The reversal of 3726088128 is 8218806273.

3726088128 is a `hidden beast` number, since 37 + 2 + 608 + 8 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3726088123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 977875 + ... + 981677.

Almost surely, 2^3726088128 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 3726088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338376960).

3726088128 is an abundant number, since it is smaller than the sum of its proper divisors (8950665792).

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

3726088128 is an frugal number, since it uses more digits than its factorization.

3726088128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3843 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3726088128 is about 61041.6917196763. The cubic root of 3726088128 is about 1550.3069982266.

The spelling of 3726088128 in words is "three billion, seven hundred twenty-six million, eighty-eight thousand, one hundred twenty-eight".