3833873669472 has 192 divisors, whose sum is σ = 12549662221824. Its totient is φ = 995617751040.

The previous prime is 3833873669453. The next prime is 3833873669513. The reversal of 3833873669472 is 2749663783383.

It is a junction number, because it is equal to n+sod(n) for n = 3833873669397 and 3833873669406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40142608 + ... + 40238000.

It is an arithmetic number, because the mean of its divisors is an integer number (65362824072).

Almost surely, 2^{3833873669472} is an apocalyptic number.

3833873669472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3833873669472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274831110912).

3833873669472 is an abundant number, since it is smaller than the sum of its proper divisors (8715788552352).

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

3833873669472 is a wasteful number, since it uses less digits than its factorization.

3833873669472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100861 (or 100853 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 69.

The spelling of 3833873669472 in words is "three trillion, eight hundred thirty-three billion, eight hundred seventy-three million, six hundred sixty-nine thousand, four hundred seventy-two".