343486359216 has 1680 divisors, whose sum is σ = 1409567496192. Its totient is φ = 78606028800.

The previous prime is 343486359211. The next prime is 343486359217. The reversal of 343486359216 is 612953684343.

343486359216 is a `hidden beast` number, since 3 + 4 + 3 + 48 + 6 + 3 + 592 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (343486359211) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4705292556 + ... + 4705292628.

Almost surely, 2^343486359216 is an apocalyptic number.

343486359216 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 343486359216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704783748096).

343486359216 is an abundant number, since it is smaller than the sum of its proper divisors (1066081136976).

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

343486359216 is a wasteful number, since it uses less digits than its factorization.

343486359216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 140 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 343486359216 in words is "three hundred forty-three billion, four hundred eighty-six million, three hundred fifty-nine thousand, two hundred sixteen".