34006240443313 has 16 divisors (see below), whose sum is σ = 34976541082320. Its totient is φ = 33038665261056.

The previous prime is 34006240443299. The next prime is 34006240443319. The reversal of 34006240443313 is 31334404260043.

It can be written as a sum of positive squares in 8 ways, for example, as 23087333085184 + 10918907358129 = 4804928^2 + 3304377^2 .

It is a cyclic number.

It is not a de Polignac number, because 34006240443313 - 2⁵ = 34006240443281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34006240443319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81959743 + ... + 82373611.

It is an arithmetic number, because the mean of its divisors is an integer number (2186033817645).

Almost surely, 2^{34006240443313} is an apocalyptic number.

It is an amenable number.

34006240443313 is a deficient number, since it is larger than the sum of its proper divisors (970300639007).

34006240443313 is a wasteful number, since it uses less digits than its factorization.

34006240443313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417156.

The product of its (nonzero) digits is 248832, while the sum is 37.

The spelling of 34006240443313 in words is "thirty-four trillion, six billion, two hundred forty million, four hundred forty-three thousand, three hundred thirteen".