34800387702805 has 16 divisors (see below), whose sum is σ = 41888664342000. Its totient is φ = 27754876638720.

The previous prime is 34800387702797. The next prime is 34800387702841. The reversal of 34800387702805 is 50820778300843.

It can be written as a sum of positive squares in 8 ways, for example, as 591259496356 + 34209128206449 = 768934^2 + 5848857^2 .

It is not a de Polignac number, because 34800387702805 - 2³ = 34800387702797 is a prime.

It is a super-2 number, since 2×34800387702805² (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 6534945 + ... + 10597465.

It is an arithmetic number, because the mean of its divisors is an integer number (2618041521375).

Almost surely, 2^{34800387702805} is an apocalyptic number.

It is an amenable number.

34800387702805 is a deficient number, since it is larger than the sum of its proper divisors (7088276639195).

34800387702805 is a wasteful number, since it uses less digits than its factorization.

34800387702805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067784.

The product of its (nonzero) digits is 9031680, while the sum is 55.

The spelling of 34800387702805 in words is "thirty-four trillion, eight hundred billion, three hundred eighty-seven million, seven hundred two thousand, eight hundred five".