3434102430304 has 192 divisors, whose sum is σ = 8855319344256. Its totient is φ = 1272137416704.

The previous prime is 3434102430221. The next prime is 3434102430347. The reversal of 3434102430304 is 4030342014343.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9576222 + ... + 9928354.

It is an arithmetic number, because the mean of its divisors is an integer number (46121454918).

Almost surely, 2^{3434102430304} is an apocalyptic number.

3434102430304 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 3434102430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427659672128).

3434102430304 is an abundant number, since it is smaller than the sum of its proper divisors (5421216913952).

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

3434102430304 is a wasteful number, since it uses less digits than its factorization.

3434102430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352377 (or 352369 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 3434102430304 its reverse (4030342014343), we get a palindrome (7464444444647).

The spelling of 3434102430304 in words is "three trillion, four hundred thirty-four billion, one hundred two million, four hundred thirty thousand, three hundred four".