343434399744 has 312 divisors, whose sum is σ = 957820154880. Its totient is φ = 109432995840.

The previous prime is 343434399739. The next prime is 343434399769. The reversal of 343434399744 is 447993434343.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1499713422 + ... + 1499713650.

Almost surely, 2^343434399744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343434399744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478910077440).

343434399744 is an abundant number, since it is smaller than the sum of its proper divisors (614385755136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343434399744 is a wasteful number, since it uses less digits than its factorization.

343434399744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 392 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 57.

The spelling of 343434399744 in words is "three hundred forty-three billion, four hundred thirty-four million, three hundred ninety-nine thousand, seven hundred forty-four".