3830456160 has 144 divisors (see below), whose sum is σ = 13390453440. Its totient is φ = 996526080.

The previous prime is 3830456111. The next prime is 3830456239. The reversal of 3830456160 is 616540383.

3830456160 is a `hidden beast` number, since 3 + 8 + 30 + 4 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 26601 + ... + 91479.

It is an arithmetic number, because the mean of its divisors is an integer number (92989260).

Almost surely, 2^3830456160 is an apocalyptic number.

3830456160 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 3830456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695226720).

3830456160 is an abundant number, since it is smaller than the sum of its proper divisors (9559997280).

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

3830456160 is a wasteful number, since it uses less digits than its factorization.

3830456160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64941 (or 64930 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3830456160 is about 61890.6791043692. The cubic root of 3830456160 is about 1564.6486583154.

The spelling of 3830456160 in words is "three billion, eight hundred thirty million, four hundred fifty-six thousand, one hundred sixty".