3830993712 has 640 divisors, whose sum is σ = 14932377600. Its totient is φ = 911471616.

The previous prime is 3830993701. The next prime is 3830993729. The reversal of 3830993712 is 2173990383.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17179233 + ... + 17179455.

It is an arithmetic number, because the mean of its divisors is an integer number (23331840).

Almost surely, 2^3830993712 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 3830993712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7466188800).

3830993712 is an abundant number, since it is smaller than the sum of its proper divisors (11101383888).

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

3830993712 is a wasteful number, since it uses less digits than its factorization.

3830993712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3830993712 is about 61895.0217061114. The cubic root of 3830993712 is about 1564.7218472203.

The spelling of 3830993712 in words is "three billion, eight hundred thirty million, nine hundred ninety-three thousand, seven hundred twelve".