3860757621864 has 960 divisors, whose sum is σ = 13051225915200. Its totient is φ = 1070024567040.

The previous prime is 3860757621817. The next prime is 3860757621869. The reversal of 3860757621864 is 4681267570683.

3860757621864 is a `hidden beast` number, since 3 + 8 + 607 + 5 + 7 + 6 + 2 + 18 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (3860757621869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35419794642 + ... + 35419794750.

It is an arithmetic number, because the mean of its divisors is an integer number (13595026995).

Almost surely, 2^{3860757621864} 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 3860757621864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525612957600).

3860757621864 is an abundant number, since it is smaller than the sum of its proper divisors (9190468293336).

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

3860757621864 is an equidigital number, since it uses as much as digits as its factorization.

3860757621864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 3860757621864 in words is "three trillion, eight hundred sixty billion, seven hundred fifty-seven million, six hundred twenty-one thousand, eight hundred sixty-four".