343782800064 has 336 divisors, whose sum is σ = 1120488105984. Its totient is φ = 99831398400.

The previous prime is 343782800059. The next prime is 343782800089. The reversal of 343782800064 is 460008287343.

343782800064 is a `hidden beast` number, since 3 + 437 + 82 + 80 + 0 + 0 + 64 = 666.

It is a super-2 number, since 2×343782800064² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343782799992 and 343782800019.

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, 20222352 + ... + 20239344.

Almost surely, 2^343782800064 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 343782800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560244052992).

343782800064 is an abundant number, since it is smaller than the sum of its proper divisors (776705305920).

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

343782800064 is a wasteful number, since it uses less digits than its factorization.

343782800064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17156 (or 17143 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 343782800064 in words is "three hundred forty-three billion, seven hundred eighty-two million, eight hundred thousand, sixty-four".