345420210300 has 288 divisors, whose sum is σ = 1156794960384. Its totient is φ = 78649344000.

The previous prime is 345420210277. The next prime is 345420210307. The reversal of 345420210300 is 3012024543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345420210307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28212180 + ... + 28224420.

It is an arithmetic number, because the mean of its divisors is an integer number (4016649168).

Almost surely, 2^345420210300 is an apocalyptic number.

345420210300 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 345420210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578397480192).

345420210300 is an abundant number, since it is smaller than the sum of its proper divisors (811374750084).

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

345420210300 is a wasteful number, since it uses less digits than its factorization.

345420210300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12789 (or 12782 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 345420210300 its reverse (3012024543), we get a palindrome (348432234843).

The spelling of 345420210300 in words is "three hundred forty-five billion, four hundred twenty million, two hundred ten thousand, three hundred".