345512313300 has 432 divisors, whose sum is σ = 1312376627520. Its totient is φ = 69318144000.

The previous prime is 345512313299. The next prime is 345512313361. The reversal of 345512313300 is 3313215543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4652460 + ... + 4726140.

It is an arithmetic number, because the mean of its divisors is an integer number (3037908860).

Almost surely, 2^345512313300 is an apocalyptic number.

345512313300 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 345512313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656188313760).

345512313300 is an abundant number, since it is smaller than the sum of its proper divisors (966864314220).

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

345512313300 is a wasteful number, since it uses less digits than its factorization.

345512313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73752 (or 73738 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 345512313300 its reverse (3313215543), we get a palindrome (348825528843).

The spelling of 345512313300 in words is "three hundred forty-five billion, five hundred twelve million, three hundred thirteen thousand, three hundred".