343297543680000 has 7800 divisors, whose sum is σ = 1690021830375648. Its totient is φ = 68669669376000.

The previous prime is 343297543679971. The next prime is 343297543680073. The reversal of 343297543680000 is 86345792343.

343297543680000 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 97 + 543 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 3038031359944 + ... + 3038031360056.

Almost surely, 2^{343297543680000} is an apocalyptic number.

343297543680000 is a gapful number since it is divisible by the number (30) 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 343297543680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845010915187824).

343297543680000 is an abundant number, since it is smaller than the sum of its proper divisors (1346724286695648).

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

343297543680000 is a wasteful number, since it uses less digits than its factorization.

343297543680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 343297543680000 in words is "three hundred forty-three trillion, two hundred ninety-seven billion, five hundred forty-three million, six hundred eighty thousand".