3438415013 has 12 divisors (see below), whose sum is σ = 3816848364. Its totient is φ = 3094872000.

The previous prime is 3438414983. The next prime is 3438415031. The reversal of 3438415013 is 3105148343.

It can be written as a sum of positive squares in 2 ways, for example, as 2491806724 + 946608289 = 49918^2 + 30767^2 .

It is not a de Polignac number, because 3438415013 - 2¹⁰ = 3438413989 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 (3438415093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128456 + ... + 152897.

It is an arithmetic number, because the mean of its divisors is an integer number (318070697).

Almost surely, 2^3438415013 is an apocalyptic number.

It is an amenable number.

3438415013 is a deficient number, since it is larger than the sum of its proper divisors (378433351).

3438415013 is a wasteful number, since it uses less digits than its factorization.

3438415013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281476 (or 281465 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 3438415013 is about 58637.9997356663. Note that the first 3 decimals coincide. The cubic root of 3438415013 is about 1509.3365816603.

The spelling of 3438415013 in words is "three billion, four hundred thirty-eight million, four hundred fifteen thousand, thirteen".