34343430213120 has 480 divisors, whose sum is σ = 131836763621376. Its totient is φ = 7596700876800.

The previous prime is 34343430213091. The next prime is 34343430213143. The reversal of 34343430213120 is 2131203434343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10193965 + ... + 13137875.

Almost surely, 2^{34343430213120} is an apocalyptic number.

34343430213120 is a gapful number since it is divisible by the number (30) 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 34343430213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65918381810688).

34343430213120 is an abundant number, since it is smaller than the sum of its proper divisors (97493333408256).

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

34343430213120 is a wasteful number, since it uses less digits than its factorization.

34343430213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943982 (or 2943959 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 34343430213120 its reverse (2131203434343), we get a palindrome (36474633647463).

The spelling of 34343430213120 in words is "thirty-four trillion, three hundred forty-three billion, four hundred thirty million, two hundred thirteen thousand, one hundred twenty".