34281259200401 has 8 divisors (see below), whose sum is σ = 34286928457320. Its totient is φ = 34275590245888.

The previous prime is 34281259200379. The next prime is 34281259200403. The reversal of 34281259200401 is 10400295218243.

It is a Cunningham number, because it is equal to 5855020²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 34281259200400 = 1^2 + 5855020^2 .

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 34281259200401 - 2¹⁸ = 34281258938257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34281259200403) 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, 358104395 + ... + 358200111.

It is an arithmetic number, because the mean of its divisors is an integer number (4285866057165).

Almost surely, 2^{34281259200401} is an apocalyptic number.

It is an amenable number.

34281259200401 is a deficient number, since it is larger than the sum of its proper divisors (5669256919).

34281259200401 is an equidigital number, since it uses as much as digits as its factorization.

34281259200401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151203.

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 34281259200401 in words is "thirty-four trillion, two hundred eighty-one billion, two hundred fifty-nine million, two hundred thousand, four hundred one".