343402145312000 has 144 divisors (see below), whose sum is σ = 856117339149072. Its totient is φ = 137254934937600.

The previous prime is 343402145311937. The next prime is 343402145312027. The reversal of 343402145312000 is 213541204343.

It can be written as a sum of positive squares in 8 ways, for example, as 52419685140736 + 290982460171264 = 7240144^2 + 17058208^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37367024 + ... + 45640976.

Almost surely, 2^{343402145312000} 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 343402145312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428058669574536).

343402145312000 is an abundant number, since it is smaller than the sum of its proper divisors (512715193837072).

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

343402145312000 is an equidigital number, since it uses as much as digits as its factorization.

343402145312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8275281 (or 8275257 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 343402145312000 its reverse (213541204343), we get a palindrome (343615686516343).

The spelling of 343402145312000 in words is "three hundred forty-three trillion, four hundred two billion, one hundred forty-five million, three hundred twelve thousand".