3438404048343 has 40 divisors (see below), whose sum is σ = 5113993553280. Its totient is φ = 2054528938000.

The previous prime is 3438404048197. The next prime is 3438404048357.

3438404048343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3438404048343 - 2⁸ = 3438404048087 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3438404048292 and 3438404048301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438404047343) 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 39 ways as a sum of consecutive naturals, for example, 2567248 + ... + 3669818.

It is an arithmetic number, because the mean of its divisors is an integer number (127849838832).

Almost surely, 2^{3438404048343} is an apocalyptic number.

3438404048343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3438404048343 is a deficient number, since it is larger than the sum of its proper divisors (1675589504937).

3438404048343 is an equidigital number, since it uses as much as digits as its factorization.

3438404048343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102689 (or 1102656 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 3438404048343 in words is "three trillion, four hundred thirty-eight billion, four hundred four million, forty-eight thousand, three hundred forty-three".