3835166887776 has 576 divisors, whose sum is σ = 12258761356800. Its totient is φ = 1027899924480.

The previous prime is 3835166887709. The next prime is 3835166887823. The reversal of 3835166887776 is 6777886615383.

It is a junction number, because it is equal to n+sod(n) for n = 3835166887698 and 3835166887707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3046200235 + ... + 3046201493.

It is an arithmetic number, because the mean of its divisors is an integer number (21282571800).

Almost surely, 2^{3835166887776} 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 3835166887776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129380678400).

3835166887776 is an abundant number, since it is smaller than the sum of its proper divisors (8423594469024).

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

3835166887776 is a wasteful number, since it uses less digits than its factorization.

3835166887776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1444 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 75.

The spelling of 3835166887776 in words is "three trillion, eight hundred thirty-five billion, one hundred sixty-six million, eight hundred eighty-seven thousand, seven hundred seventy-six".