343227828787200 has 1728 divisors, whose sum is σ = 1495290655272960. Its totient is φ = 73448423424000.

The previous prime is 343227828787177. The next prime is 343227828787211. The reversal of 343227828787200 is 2787828722343.

343227828787200 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 2 + 78 + 287 + 87 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10473506815 + ... + 10473539585.

It is an arithmetic number, because the mean of its divisors is an integer number (865330240320).

Almost surely, 2^{343227828787200} is an apocalyptic number.

343227828787200 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 343227828787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747645327636480).

343227828787200 is an abundant number, since it is smaller than the sum of its proper divisors (1152062826485760).

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

343227828787200 is a wasteful number, since it uses less digits than its factorization.

343227828787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33024 (or 32996 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 343227828787200 in words is "three hundred forty-three trillion, two hundred twenty-seven billion, eight hundred twenty-eight million, seven hundred eighty-seven thousand, two hundred".