3830621335968 has 288 divisors, whose sum is σ = 11766529152000. Its totient is φ = 1087977623040.

The previous prime is 3830621335963. The next prime is 3830621335979. The reversal of 3830621335968 is 8695331260383.

It is not an unprimeable number, because it can be changed into a prime (3830621335963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1094774283 + ... + 1094777781.

It is an arithmetic number, because the mean of its divisors is an integer number (40856004000).

Almost surely, 2^{3830621335968} 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 3830621335968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883264576000).

3830621335968 is an abundant number, since it is smaller than the sum of its proper divisors (7935907816032).

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

3830621335968 is a wasteful number, since it uses less digits than its factorization.

3830621335968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 3830621335968 in words is "three trillion, eight hundred thirty billion, six hundred twenty-one million, three hundred thirty-five thousand, nine hundred sixty-eight".