343945625640960 has 1344 divisors, whose sum is σ = 1310427441453312. Its totient is φ = 75412537344000.

The previous prime is 343945625640923. The next prime is 343945625640961. The reversal of 343945625640960 is 69046526549343.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 343945625640891 and 343945625640900.

It is not an unprimeable number, because it can be changed into a prime (343945625640961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131226868450 + ... + 131226871070.

It is an arithmetic number, because the mean of its divisors is an integer number (975020417748).

Almost surely, 2^{343945625640960} is an apocalyptic number.

343945625640960 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 343945625640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655213720726656).

343945625640960 is an abundant number, since it is smaller than the sum of its proper divisors (966481815812352).

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

343945625640960 is an equidigital number, since it uses as much as digits as its factorization.

343945625640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 66.

The spelling of 343945625640960 in words is "three hundred forty-three trillion, nine hundred forty-five billion, six hundred twenty-five million, six hundred forty thousand, nine hundred sixty".