3886565760 has 1024 divisors, whose sum is σ = 18048614400. Its totient is φ = 766402560.

The previous prime is 3886565743. The next prime is 3886565777. The reversal of 3886565760 is 675656883.

3886565760 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 565 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3886565743) and next prime (3886565777).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3886565697 and 3886565706.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 30602817 + ... + 30602943.

It is an arithmetic number, because the mean of its divisors is an integer number (17625600).

Almost surely, 2^3886565760 is an apocalyptic number.

3886565760 is a gapful number since it is divisible by the number (30) 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 3886565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9024307200).

3886565760 is an abundant number, since it is smaller than the sum of its proper divisors (14162048640).

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

3886565760 is a wasteful number, since it uses less digits than its factorization.

3886565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 3886565760 is about 62342.3271942907. The cubic root of 3886565760 is about 1572.2514602691.

The spelling of 3886565760 in words is "three billion, eight hundred eighty-six million, five hundred sixty-five thousand, seven hundred sixty".