3434098024224 has 480 divisors, whose sum is σ = 11719313819136. Its totient is φ = 966174842880.

The previous prime is 3434098024213. The next prime is 3434098024243. The reversal of 3434098024224 is 4224208904343.

It is a happy number.

3434098024224 is a `hidden beast` number, since 3 + 4 + 340 + 9 + 80 + 2 + 4 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3434098024224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1007951929 + ... + 1007955335.

Almost surely, 2^{3434098024224} 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 3434098024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859656909568).

3434098024224 is an abundant number, since it is smaller than the sum of its proper divisors (8285215794912).

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

3434098024224 is a wasteful number, since it uses less digits than its factorization.

3434098024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 3434098024224 in words is "three trillion, four hundred thirty-four billion, ninety-eight million, twenty-four thousand, two hundred twenty-four".