3830961304176 has 80 divisors (see below), whose sum is σ = 10052544393600. Its totient is φ = 1256902758144.

The previous prime is 3830961304141. The next prime is 3830961304187. The reversal of 3830961304176 is 6714031690383.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3467835 + ... + 4437093.

It is an arithmetic number, because the mean of its divisors is an integer number (125656804920).

Almost surely, 2^{3830961304176} 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 3830961304176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026272196800).

3830961304176 is an abundant number, since it is smaller than the sum of its proper divisors (6221583089424).

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

3830961304176 is a wasteful number, since it uses less digits than its factorization.

3830961304176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970566 (or 970560 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 3830961304176 in words is "three trillion, eight hundred thirty billion, nine hundred sixty-one million, three hundred four thousand, one hundred seventy-six".