34329303073350 has 144 divisors (see below), whose sum is σ = 92918758475088. Its totient is φ = 9086276459520.

The previous prime is 34329303073343. The next prime is 34329303073369. The reversal of 34329303073350 is 5337030392343.

34329303073350 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 9 + 3 + 0 + 307 + 335 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 34329303073296 and 34329303073305.

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 71 ways as a sum of consecutive naturals, for example, 442423257 + ... + 442500843.

It is an arithmetic number, because the mean of its divisors is an integer number (645269156077).

Almost surely, 2^{34329303073350} is an apocalyptic number.

34329303073350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34329303073350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46459379237544).

34329303073350 is an abundant number, since it is smaller than the sum of its proper divisors (58589455401738).

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

34329303073350 is a wasteful number, since it uses less digits than its factorization.

34329303073350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84919 (or 84911 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 45.

The spelling of 34329303073350 in words is "thirty-four trillion, three hundred twenty-nine billion, three hundred three million, seventy-three thousand, three hundred fifty".