3414004040343 has 64 divisors (see below), whose sum is σ = 5257542850560. Its totient is φ = 1951822559232.

The previous prime is 3414004040329. The next prime is 3414004040413. The reversal of 3414004040343 is 3430404004143.

It is a de Polignac number, because none of the positive numbers 2^k-3414004040343 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3414004040343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414004060343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 361763221 + ... + 361772657.

It is an arithmetic number, because the mean of its divisors is an integer number (82149107040).

Almost surely, 2^{3414004040343} is an apocalyptic number.

3414004040343 is a deficient number, since it is larger than the sum of its proper divisors (1843538810217).

3414004040343 is a wasteful number, since it uses less digits than its factorization.

3414004040343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16456.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3414004040343 its reverse (3430404004143), we get a palindrome (6844408044486).

The spelling of 3414004040343 in words is "three trillion, four hundred fourteen billion, four million, forty thousand, three hundred forty-three".