34335352304401 has 32 divisors (see below), whose sum is σ = 36338125639680. Its totient is φ = 32394361708800.

The previous prime is 34335352304369. The next prime is 34335352304411. The reversal of 34335352304401 is 10440325353343.

It is a cyclic number.

It is not a de Polignac number, because 34335352304401 - 2⁵ = 34335352304369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34335352304411) 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 31 ways as a sum of consecutive naturals, for example, 2808152250 + ... + 2808164476.

It is an arithmetic number, because the mean of its divisors is an integer number (1135566426240).

Almost surely, 2^{34335352304401} is an apocalyptic number.

It is an amenable number.

34335352304401 is a deficient number, since it is larger than the sum of its proper divisors (2002773335279).

34335352304401 is a wasteful number, since it uses less digits than its factorization.

34335352304401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22585.

The product of its (nonzero) digits is 777600, while the sum is 40.

Adding to 34335352304401 its reverse (10440325353343), we get a palindrome (44775677657744).

The spelling of 34335352304401 in words is "thirty-four trillion, three hundred thirty-five billion, three hundred fifty-two million, three hundred four thousand, four hundred one".