345314215400 has 96 divisors (see below), whose sum is σ = 1000962809280. Its totient is φ = 107630400000.

The previous prime is 345314215381. The next prime is 345314215423. The reversal of 345314215400 is 4512413543.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11196101 + ... + 11226900.

It is an arithmetic number, because the mean of its divisors is an integer number (10426695930).

Almost surely, 2^345314215400 is an apocalyptic number.

It is an amenable number.

345314215400 is an abundant number, since it is smaller than the sum of its proper divisors (655648593880).

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

345314215400 is a wasteful number, since it uses less digits than its factorization.

345314215400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22423035 (or 22423026 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 345314215400 its reverse (4512413543), we get a palindrome (349826628943).

The spelling of 345314215400 in words is "three hundred forty-five billion, three hundred fourteen million, two hundred fifteen thousand, four hundred".