345323815200 has 2592 divisors, whose sum is σ = 1668810439296. Its totient is φ = 66328657920.

The previous prime is 345323815171. The next prime is 345323815201. The reversal of 345323815200 is 2518323543.

345323815200 is a `hidden beast` number, since 3 + 4 + 53 + 2 + 3 + 81 + 520 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (345323815201) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3352658349 + ... + 3352658451.

It is an arithmetic number, because the mean of its divisors is an integer number (643831188).

Almost surely, 2^345323815200 is an apocalyptic number.

345323815200 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 345323815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834405219648).

345323815200 is an abundant number, since it is smaller than the sum of its proper divisors (1323486624096).

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

345323815200 is a wasteful number, since it uses less digits than its factorization.

345323815200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 345323815200 in words is "three hundred forty-five billion, three hundred twenty-three million, eight hundred fifteen thousand, two hundred".