34306664502300 has 144 divisors (see below), whose sum is σ = 99677508147840. Its totient is φ = 9110095868160.

The previous prime is 34306664502293. The next prime is 34306664502317. The reversal of 34306664502300 is 320546660343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72874474 + ... + 73343726.

Almost surely, 2^{34306664502300} is an apocalyptic number.

34306664502300 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 34306664502300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49838754073920).

34306664502300 is an abundant number, since it is smaller than the sum of its proper divisors (65370843645540).

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

34306664502300 is a wasteful number, since it uses less digits than its factorization.

34306664502300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470292 (or 470285 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 42.

The spelling of 34306664502300 in words is "thirty-four trillion, three hundred six billion, six hundred sixty-four million, five hundred two thousand, three hundred".