3830059208064 has 128 divisors (see below), whose sum is σ = 10234463270400. Its totient is φ = 1269053671424.

The previous prime is 3830059207987. The next prime is 3830059208093. The reversal of 3830059208064 is 4608029500383.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 201180754 + ... + 201199790.

It is an arithmetic number, because the mean of its divisors is an integer number (79956744300).

Almost surely, 2^{3830059208064} 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 3830059208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117231635200).

3830059208064 is an abundant number, since it is smaller than the sum of its proper divisors (6404404062336).

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

3830059208064 is a wasteful number, since it uses less digits than its factorization.

3830059208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22160 (or 22148 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 3830059208064 in words is "three trillion, eight hundred thirty billion, fifty-nine million, two hundred eight thousand, sixty-four".