3034424784384 has 960 divisors, whose sum is σ = 11165542502400. Its totient is φ = 789441085440.

The previous prime is 3034424784379. The next prime is 3034424784437. The reversal of 3034424784384 is 4834874244303.

3034424784384 is a `hidden beast` number, since 3 + 0 + 3 + 442 + 47 + 84 + 3 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3034424784384.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 832944867 + ... + 832948509.

It is an arithmetic number, because the mean of its divisors is an integer number (11630773440).

Almost surely, 2^{3034424784384} is an apocalyptic number.

3034424784384 is a gapful number since it is divisible by the number (34) 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 3034424784384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582771251200).

3034424784384 is an abundant number, since it is smaller than the sum of its proper divisors (8131117718016).

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

3034424784384 is a wasteful number, since it uses less digits than its factorization.

3034424784384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 54.

The spelling of 3034424784384 in words is "three trillion, thirty-four billion, four hundred twenty-four million, seven hundred eighty-four thousand, three hundred eighty-four".