3806828710872 has 128 divisors (see below), whose sum is σ = 10665475200000. Its totient is φ = 1122131404800.

The previous prime is 3806828710837. The next prime is 3806828710889. The reversal of 3806828710872 is 2780178286083.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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, 41673504 + ... + 41764752.

It is an arithmetic number, because the mean of its divisors is an integer number (83324025000).

Almost surely, 2^{3806828710872} 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 3806828710872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332737600000).

3806828710872 is an abundant number, since it is smaller than the sum of its proper divisors (6858646489128).

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

3806828710872 is a wasteful number, since it uses less digits than its factorization.

3806828710872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95577 (or 95573 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 60.

The spelling of 3806828710872 in words is "three trillion, eight hundred six billion, eight hundred twenty-eight million, seven hundred ten thousand, eight hundred seventy-two".