34010000401 has 8 divisors (see below), whose sum is σ = 36641886120. Its totient is φ = 31380362112.

The previous prime is 34010000393. The next prime is 34010000489. The reversal of 34010000401 is 10400001043.

It can be written as a sum of positive squares in 4 ways, for example, as 1306894801 + 32703105600 = 36151^2 + 180840^2 .

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 34010000401 - 2³ = 34010000393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34010000501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 530356 + ... + 591013.

It is an arithmetic number, because the mean of its divisors is an integer number (4580235765).

Almost surely, 2^34010000401 is an apocalyptic number.

It is an amenable number.

34010000401 is a deficient number, since it is larger than the sum of its proper divisors (2631885719).

34010000401 is a wasteful number, since it uses less digits than its factorization.

34010000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123715.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 34010000401 its reverse (10400001043), we get a palindrome (44410001444).

The spelling of 34010000401 in words is "thirty-four billion, ten million, four hundred one", and thus it is an aban number.