34032034120001 has 8 divisors (see below), whose sum is σ = 34055499724200. Its totient is φ = 34008575990272.

The previous prime is 34032034119991. The next prime is 34032034120009. The reversal of 34032034120001 is 10002143023043.

It can be written as a sum of positive squares in 4 ways, for example, as 11415579903025 + 22616454216976 = 3378695^2 + 4755676^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 34032034120001 - 2¹⁰ = 34032034118977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34032034120009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7256075 + ... + 10987023.

It is an arithmetic number, because the mean of its divisors is an integer number (4256937465525).

Almost surely, 2^{34032034120001} is an apocalyptic number.

It is an amenable number.

34032034120001 is a deficient number, since it is larger than the sum of its proper divisors (23465604199).

34032034120001 is a wasteful number, since it uses less digits than its factorization.

34032034120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737235.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 34032034120001 its reverse (10002143023043), we get a palindrome (44034177143044).

The spelling of 34032034120001 in words is "thirty-four trillion, thirty-two billion, thirty-four million, one hundred twenty thousand, one".