3415384082304 has 320 divisors, whose sum is σ = 10423464733440. Its totient is φ = 1114200147456.

The previous prime is 3415384082273. The next prime is 3415384082309. The reversal of 3415384082304 is 4032804835143.

3415384082304 is a `hidden beast` number, since 3 + 4 + 1 + 5 + 3 + 8 + 408 + 230 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3415384082304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3415384082309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118398507 + ... + 118427349.

It is an arithmetic number, because the mean of its divisors is an integer number (32573327292).

Almost surely, 2^{3415384082304} 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 3415384082304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211732366720).

3415384082304 is an abundant number, since it is smaller than the sum of its proper divisors (7008080651136).

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

3415384082304 is an frugal number, since it uses more digits than its factorization.

3415384082304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28931 (or 28895 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 3415384082304 in words is "three trillion, four hundred fifteen billion, three hundred eighty-four million, eighty-two thousand, three hundred four".