343609820064 has 480 divisors, whose sum is σ = 1219976626176. Its totient is φ = 92791319040.

The previous prime is 343609820051. The next prime is 343609820077. The reversal of 343609820064 is 460028906343.

343609820064 is a `hidden beast` number, since 3 + 436 + 0 + 9 + 8 + 200 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (343609820051) and next prime (343609820077).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24178849 + ... + 24193055.

Almost surely, 2^343609820064 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 343609820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609988313088).

343609820064 is an abundant number, since it is smaller than the sum of its proper divisors (876366806112).

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

343609820064 is a wasteful number, since it uses less digits than its factorization.

343609820064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14310 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 343609820064 in words is "three hundred forty-three billion, six hundred nine million, eight hundred twenty thousand, sixty-four".