3862725280128 has 1024 divisors, whose sum is σ = 13985004902400. Its totient is φ = 1033747660800.

The previous prime is 3862725280123. The next prime is 3862725280129. The reversal of 3862725280128 is 8210825272683.

3862725280128 is a `hidden beast` number, since 3 + 8 + 627 + 2 + 5 + 2 + 8 + 0 + 1 + 2 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3862725280123) 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 127 ways as a sum of consecutive naturals, for example, 1115425725 + ... + 1115429187.

It is an arithmetic number, because the mean of its divisors is an integer number (13657231350).

Almost surely, 2^{3862725280128} 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 3862725280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992502451200).

3862725280128 is an abundant number, since it is smaller than the sum of its proper divisors (10122279622272).

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

3862725280128 is a wasteful number, since it uses less digits than its factorization.

3862725280128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 3862725280128 in words is "three trillion, eight hundred sixty-two billion, seven hundred twenty-five million, two hundred eighty thousand, one hundred twenty-eight".