3765728736 has 288 divisors, whose sum is σ = 13639062528. Its totient is φ = 957035520.

The previous prime is 3765728713. The next prime is 3765728779. The reversal of 3765728736 is 6378275673.

3765728736 is a `hidden beast` number, since 37 + 6 + 572 + 8 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1040466 + ... + 1044078.

It is an arithmetic number, because the mean of its divisors is an integer number (47357856).

Almost surely, 2^3765728736 is an apocalyptic number.

3765728736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3765728736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819531264).

3765728736 is an abundant number, since it is smaller than the sum of its proper divisors (9873333792).

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

3765728736 is a wasteful number, since it uses less digits than its factorization.

3765728736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3683 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The square root of 3765728736 is about 61365.5337791500. The cubic root of 3765728736 is about 1555.7853493749.

The spelling of 3765728736 in words is "three billion, seven hundred sixty-five million, seven hundred twenty-eight thousand, seven hundred thirty-six".