345055340400 has 240 divisors, whose sum is σ = 1150212750720. Its totient is φ = 88350796800.

The previous prime is 345055340393. The next prime is 345055340449. The reversal of 345055340400 is 4043550543.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2987730 + ... + 3101070.

It is an arithmetic number, because the mean of its divisors is an integer number (4792553128).

Almost surely, 2^345055340400 is an apocalyptic number.

345055340400 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 345055340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575106375360).

345055340400 is an abundant number, since it is smaller than the sum of its proper divisors (805157410320).

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

345055340400 is a wasteful number, since it uses less digits than its factorization.

345055340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113464 (or 113453 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

Adding to 345055340400 its reverse (4043550543), we get a palindrome (349098890943).

The spelling of 345055340400 in words is "three hundred forty-five billion, fifty-five million, three hundred forty thousand, four hundred".