343258072416 has 216 divisors, whose sum is σ = 1137037663944. Its totient is φ = 97941795840.

The previous prime is 343258072397. The next prime is 343258072481. The reversal of 343258072416 is 614270852343.

343258072416 is a `hidden beast` number, since 3 + 4 + 32 + 580 + 7 + 24 + 16 = 666.

343258072416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×343258072416² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10723251 + ... + 10755213.

It is an arithmetic number, because the mean of its divisors is an integer number (5264063259).

Almost surely, 2^343258072416 is an apocalyptic number.

343258072416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343258072416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568518831972).

343258072416 is an abundant number, since it is smaller than the sum of its proper divisors (793779591528).

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

343258072416 is a wasteful number, since it uses less digits than its factorization.

343258072416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32754 (or 32736 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 343258072416 in words is "three hundred forty-three billion, two hundred fifty-eight million, seventy-two thousand, four hundred sixteen".