345225304530 has 128 divisors (see below), whose sum is σ = 975228076800. Its totient is φ = 86659103232.

The previous prime is 345225304507. The next prime is 345225304537. The reversal of 345225304530 is 35403522543.

345225304530 is a `hidden beast` number, since 3 + 4 + 52 + 2 + 530 + 45 + 30 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (345225304537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 591094 + ... + 1019726.

It is an arithmetic number, because the mean of its divisors is an integer number (7618969350).

Almost surely, 2^345225304530 is an apocalyptic number.

345225304530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345225304530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487614038400).

345225304530 is an abundant number, since it is smaller than the sum of its proper divisors (630002772270).

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

345225304530 is a wasteful number, since it uses less digits than its factorization.

345225304530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428825 (or 428819 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 345225304530 in words is "three hundred forty-five billion, two hundred twenty-five million, three hundred four thousand, five hundred thirty".