34321001041 has 8 divisors (see below), whose sum is σ = 34688372040. Its totient is φ = 33953906688.

The previous prime is 34321001023. The next prime is 34321001059. The reversal of 34321001041 is 14010012343.

It is an interprime number because it is at equal distance from previous prime (34321001023) and next prime (34321001059).

It can be written as a sum of positive squares in 4 ways, for example, as 1739307025 + 32581694016 = 41705^2 + 180504^2 .

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 34321001041 - 2⁵ = 34321001009 is a prime.

It is a super-3 number, since 3×34321001041³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34321001441) 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, 185265 + ... + 320881.

It is an arithmetic number, because the mean of its divisors is an integer number (4336046505).

Almost surely, 2^34321001041 is an apocalyptic number.

It is an amenable number.

34321001041 is a deficient number, since it is larger than the sum of its proper divisors (367370999).

34321001041 is a wasteful number, since it uses less digits than its factorization.

34321001041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138323.

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

Adding to 34321001041 its reverse (14010012343), we get a palindrome (48331013384).

The spelling of 34321001041 in words is "thirty-four billion, three hundred twenty-one million, one thousand, forty-one".