3809556853696 has 112 divisors (see below), whose sum is σ = 8293663778400. Its totient is φ = 1721809797120.

The previous prime is 3809556853679. The next prime is 3809556853699. The reversal of 3809556853696 is 6963586559083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3809556853699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88471980 + ... + 88515028.

It is an arithmetic number, because the mean of its divisors is an integer number (74050569450).

Almost surely, 2^{3809556853696} 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 3809556853696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146831889200).

3809556853696 is an abundant number, since it is smaller than the sum of its proper divisors (4484106924704).

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

3809556853696 is a wasteful number, since it uses less digits than its factorization.

3809556853696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43782 (or 43772 counting only the distinct ones).

The product of its (nonzero) digits is 1259712000, while the sum is 73.

The spelling of 3809556853696 in words is "three trillion, eight hundred nine billion, five hundred fifty-six million, eight hundred fifty-three thousand, six hundred ninety-six".