343376216064 has 720 divisors, whose sum is σ = 1209747154560. Its totient is φ = 95455936512.

The previous prime is 343376216041. The next prime is 343376216081. The reversal of 343376216064 is 460612673343.

343376216064 is a `hidden beast` number, since 3 + 4 + 3 + 37 + 6 + 2 + 1 + 606 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9280438254 + ... + 9280438290.

Almost surely, 2^343376216064 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 343376216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604873577280).

343376216064 is an abundant number, since it is smaller than the sum of its proper divisors (866370938496).

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

343376216064 is an frugal number, since it uses more digits than its factorization.

343376216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 343376216064 in words is "three hundred forty-three billion, three hundred seventy-six million, two hundred sixteen thousand, sixty-four".