345336225300 has 216 divisors, whose sum is σ = 1221560252640. Its totient is φ = 80830982400.

The previous prime is 345336225281. The next prime is 345336225307. The reversal of 345336225300 is 3522633543.

345336225300 is a `hidden beast` number, since 3 + 45 + 3 + 362 + 253 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345336225307) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 314322 + ... + 888521.

It is an arithmetic number, because the mean of its divisors is an integer number (5655371540).

Almost surely, 2^345336225300 is an apocalyptic number.

345336225300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345336225300 is an abundant number, since it is smaller than the sum of its proper divisors (876224027340).

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

345336225300 is a wasteful number, since it uses less digits than its factorization.

345336225300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202903 (or 1202893 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 345336225300 its reverse (3522633543), we get a palindrome (348858858843).

The spelling of 345336225300 in words is "three hundred forty-five billion, three hundred thirty-six million, two hundred twenty-five thousand, three hundred".