3766134528 has 216 divisors, whose sum is σ = 12129692848. Its totient is φ = 1158561792.

The previous prime is 3766134523. The next prime is 3766134529. The reversal of 3766134528 is 8254316673.

3766134528 is a `hidden beast` number, since 3 + 7 + 6 + 613 + 4 + 5 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766134523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806376 + ... + 811032.

Almost surely, 2^3766134528 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 3766134528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064846424).

3766134528 is an abundant number, since it is smaller than the sum of its proper divisors (8363558320).

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

3766134528 is an equidigital number, since it uses as much as digits as its factorization.

3766134528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4675 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3766134528 is about 61368.8400411805. The cubic root of 3766134528 is about 1555.8412307741.

The spelling of 3766134528 in words is "three billion, seven hundred sixty-six million, one hundred thirty-four thousand, five hundred twenty-eight".