34064016300 has 108 divisors (see below), whose sum is σ = 106858238760. Its totient is φ = 9076381440.

The previous prime is 34064016281. The next prime is 34064016307. The reversal of 34064016300 is 361046043.

34064016300 is a `hidden beast` number, since 3 + 4 + 0 + 640 + 16 + 3 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (34064016307) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1145419 + ... + 1174781.

Almost surely, 2^34064016300 is an apocalyptic number.

34064016300 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 34064016300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53429119380).

34064016300 is an abundant number, since it is smaller than the sum of its proper divisors (72794222460).

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

34064016300 is a wasteful number, since it uses less digits than its factorization.

34064016300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30672 (or 30662 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 34064016300 in words is "thirty-four billion, sixty-four million, sixteen thousand, three hundred".