3992873407936 has 112 divisors (see below), whose sum is σ = 9230061279744. Its totient is φ = 1678226973696.

The previous prime is 3992873407903. The next prime is 3992873407961. The reversal of 3992873407936 is 6397043782993.

It is a tau number, because it is divible by the number of its divisors (112).

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, 57497011 + ... + 57566413.

Almost surely, 2^{3992873407936} 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 3992873407936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615030639872).

3992873407936 is an abundant number, since it is smaller than the sum of its proper divisors (5237187871808).

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

3992873407936 is a wasteful number, since it uses less digits than its factorization.

3992873407936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71898 (or 71888 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 70.

The spelling of 3992873407936 in words is "three trillion, nine hundred ninety-two billion, eight hundred seventy-three million, four hundred seven thousand, nine hundred thirty-six".