34200518401 has 8 divisors (see below), whose sum is σ = 39087834624. Its totient is φ = 29313584160.

The previous prime is 34200518389. The next prime is 34200518411. The reversal of 34200518401 is 10481500243.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34200518401 - 2⁷ = 34200518273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34200518401.

It is not an unprimeable number, because it can be changed into a prime (34200518411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 132741 + ... + 293293.

It is an arithmetic number, because the mean of its divisors is an integer number (4885979328).

Almost surely, 2^34200518401 is an apocalyptic number.

It is an amenable number.

34200518401 is a deficient number, since it is larger than the sum of its proper divisors (4887316223).

34200518401 is a wasteful number, since it uses less digits than its factorization.

34200518401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190991.

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 34200518401 in words is "thirty-four billion, two hundred million, five hundred eighteen thousand, four hundred one".