3434784784314 has 64 divisors (see below), whose sum is σ = 7525524357120. Its totient is φ = 1038710692800.

The previous prime is 3434784784313. The next prime is 3434784784331. The reversal of 3434784784314 is 4134874874343.

It is not an unprimeable number, because it can be changed into a prime (3434784784313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1545639 + ... + 3042789.

It is an arithmetic number, because the mean of its divisors is an integer number (117586318080).

Almost surely, 2^{3434784784314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434784784314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762762178560).

3434784784314 is an abundant number, since it is smaller than the sum of its proper divisors (4090739572806).

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

3434784784314 is a wasteful number, since it uses less digits than its factorization.

3434784784314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497675.

The product of its digits is 86704128, while the sum is 60.

The spelling of 3434784784314 in words is "three trillion, four hundred thirty-four billion, seven hundred eighty-four million, seven hundred eighty-four thousand, three hundred fourteen".