3830828376960 has 2048 divisors, whose sum is σ = 16221897216000. Its totient is φ = 846108426240.

The previous prime is 3830828376953. The next prime is 3830828376979. The reversal of 3830828376960 is 696738280383.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5543890215 + ... + 5543890905.

It is an arithmetic number, because the mean of its divisors is an integer number (7920848250).

Almost surely, 2^{3830828376960} is an apocalyptic number.

3830828376960 is a gapful number since it is divisible by the number (30) 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 3830828376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8110948608000).

3830828376960 is an abundant number, since it is smaller than the sum of its proper divisors (12391068839040).

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

3830828376960 is a wasteful number, since it uses less digits than its factorization.

3830828376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 3830828376960 in words is "three trillion, eight hundred thirty billion, eight hundred twenty-eight million, three hundred seventy-six thousand, nine hundred sixty".