343660694400800 has 108 divisors (see below), whose sum is σ = 975935004228450. Its totient is φ = 117826523781120.

The previous prime is 343660694400763. The next prime is 343660694400817. The reversal of 343660694400800 is 8004496066343.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 234385199406736 + 109275494994064 = 15309644^2 + 10453492^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4383388025 + ... + 4383466424.

Almost surely, 2^{343660694400800} is an apocalyptic number.

It is an amenable number.

343660694400800 is an abundant number, since it is smaller than the sum of its proper divisors (632274309827650).

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

343660694400800 is a wasteful number, since it uses less digits than its factorization.

343660694400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766854483 (or 8766854463 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 53.

The spelling of 343660694400800 in words is "three hundred forty-three trillion, six hundred sixty billion, six hundred ninety-four million, four hundred thousand, eight hundred".