34304200110001 has 16 divisors (see below), whose sum is σ = 36353602126800. Its totient is φ = 32312607308800.

The previous prime is 34304200109953. The next prime is 34304200110007. The reversal of 34304200110001 is 10001100240343.

It can be written as a sum of positive squares in 8 ways, for example, as 14557277160000 + 19746922950001 = 3815400^2 + 4443751^2 .

It is a cyclic number.

It is not a de Polignac number, because 34304200110001 - 2²¹ = 34304198012849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34304200110007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47186181 + ... + 47907661.

It is an arithmetic number, because the mean of its divisors is an integer number (2272100132925).

Almost surely, 2^{34304200110001} is an apocalyptic number.

It is an amenable number.

34304200110001 is a deficient number, since it is larger than the sum of its proper divisors (2049402016799).

34304200110001 is a wasteful number, since it uses less digits than its factorization.

34304200110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761540.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 34304200110001 its reverse (10001100240343), we get a palindrome (44305300350344).

The spelling of 34304200110001 in words is "thirty-four trillion, three hundred four billion, two hundred million, one hundred ten thousand, one".