345041532400000 has 768 divisors, whose sum is σ = 890586598809600. Its totient is φ = 133073510400000.

The previous prime is 345041532399997. The next prime is 345041532400039. The reversal of 345041532400000 is 4235140543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 785971599781 + ... + 785971600219.

It is an arithmetic number, because the mean of its divisors is an integer number (1159617967200).

Almost surely, 2^{345041532400000} 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 345041532400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445293299404800).

345041532400000 is an abundant number, since it is smaller than the sum of its proper divisors (545545066409600).

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

345041532400000 is an frugal number, since it uses more digits than its factorization.

345041532400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 345041532400000 its reverse (4235140543), we get a palindrome (345045767540543).

The spelling of 345041532400000 in words is "three hundred forty-five trillion, forty-one billion, five hundred thirty-two million, four hundred thousand".