34414400309 has 4 divisors (see below), whose sum is σ = 34522963404. Its totient is φ = 34305837216.

The previous prime is 34414400291. The next prime is 34414400327. The reversal of 34414400309 is 90300441443.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 90300441443 = 661 ⋅136611863.

It is an interprime number because it is at equal distance from previous prime (34414400291) and next prime (34414400327).

It can be written as a sum of positive squares in 2 ways, for example, as 529690225 + 33884710084 = 23015^2 + 184078^2 .

It is a cyclic number.

It is not a de Polignac number, because 34414400309 - 2¹² = 34414396213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34414400329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54281072 + ... + 54281705.

It is an arithmetic number, because the mean of its divisors is an integer number (8630740851).

Almost surely, 2^34414400309 is an apocalyptic number.

It is an amenable number.

34414400309 is a deficient number, since it is larger than the sum of its proper divisors (108563095).

34414400309 is a wasteful number, since it uses less digits than its factorization.

34414400309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108563094.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 34414400309 in words is "thirty-four billion, four hundred fourteen million, four hundred thousand, three hundred nine".