343133798400000 has 3456 divisors, whose sum is σ = 1415481603379200. Its totient is φ = 81749606400000.

The previous prime is 343133798399923. The next prime is 343133798400007. The reversal of 343133798400000 is 4897331343.

It is a happy number.

343133798400000 is a `hidden beast` number, since 3 + 43 + 133 + 79 + 8 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (343133798400007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4832870399965 + ... + 4832870400035.

It is an arithmetic number, because the mean of its divisors is an integer number (409572223200).

Almost surely, 2^{343133798400000} is an apocalyptic number.

343133798400000 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 343133798400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707740801689600).

343133798400000 is an abundant number, since it is smaller than the sum of its proper divisors (1072347804979200).

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

343133798400000 is an frugal number, since it uses more digits than its factorization.

343133798400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 343133798400000 in words is "three hundred forty-three trillion, one hundred thirty-three billion, seven hundred ninety-eight million, four hundred thousand".