3834406041664 has 112 divisors (see below), whose sum is σ = 8416475928000. Its totient is φ = 1718753126400.

The previous prime is 3834406041629. The next prime is 3834406041671. The reversal of 3834406041664 is 4661406044383.

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, 14449054 + ... + 14712034.

It is an arithmetic number, because the mean of its divisors is an integer number (75147106500).

Almost surely, 2^{3834406041664} 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 3834406041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208237964000).

3834406041664 is an abundant number, since it is smaller than the sum of its proper divisors (4582069886336).

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

3834406041664 is a wasteful number, since it uses less digits than its factorization.

3834406041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263292 (or 263282 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 49.

The spelling of 3834406041664 in words is "three trillion, eight hundred thirty-four billion, four hundred six million, forty-one thousand, six hundred sixty-four".