3830641920 has 432 divisors, whose sum is σ = 15394753920. Its totient is φ = 861290496.

The previous prime is 3830641907. The next prime is 3830641921. The reversal of 3830641920 is 291460383.

3830641920 is a `hidden beast` number, since 3 + 8 + 3 + 0 + 641 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×3830641920² = 29347635038522572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830641921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5402526 + ... + 5403234.

Almost surely, 2^3830641920 is an apocalyptic number.

3830641920 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 3830641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697376960).

3830641920 is an abundant number, since it is smaller than the sum of its proper divisors (11564112000).

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

3830641920 is a wasteful number, since it uses less digits than its factorization.

3830641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3830641920 is about 61892.1797968047. The cubic root of 3830641920 is about 1564.6739507284.

The spelling of 3830641920 in words is "three billion, eight hundred thirty million, six hundred forty-one thousand, nine hundred twenty".