3829180160 has 144 divisors (see below), whose sum is σ = 9920594880. Its totient is φ = 1407713280.

The previous prime is 3829180153. The next prime is 3829180163. The reversal of 3829180160 is 610819283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829180163) 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 15 ways as a sum of consecutive naturals, for example, 5973440 + ... + 5974080.

It is an arithmetic number, because the mean of its divisors is an integer number (68893020).

Almost surely, 2^3829180160 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 3829180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960297440).

3829180160 is an abundant number, since it is smaller than the sum of its proper divisors (6091414720).

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

3829180160 is a wasteful number, since it uses less digits than its factorization.

3829180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 3829180160 is about 61880.3697467945. The cubic root of 3829180160 is about 1564.4749006448.

The spelling of 3829180160 in words is "three billion, eight hundred twenty-nine million, one hundred eighty thousand, one hundred sixty".