3819734304 has 96 divisors (see below), whose sum is σ = 10395241920. Its totient is φ = 1226652672.

The previous prime is 3819734299. The next prime is 3819734311. The reversal of 3819734304 is 4034379183.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1566174 + ... + 1568610.

It is an arithmetic number, because the mean of its divisors is an integer number (108283770).

Almost surely, 2^3819734304 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 3819734304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197620960).

3819734304 is an abundant number, since it is smaller than the sum of its proper divisors (6575507616).

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

3819734304 is a wasteful number, since it uses less digits than its factorization.

3819734304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3819734304 is about 61803.9990939098. Note that the first 3 decimals coincide. The cubic root of 3819734304 is about 1563.1874211645.

The spelling of 3819734304 in words is "three billion, eight hundred nineteen million, seven hundred thirty-four thousand, three hundred four".