345753530812800 has 2880 divisors, whose sum is σ = 1442070401587200. Its totient is φ = 81475708723200.

The previous prime is 345753530812799. The next prime is 345753530812829. The reversal of 345753530812800 is 8218035357543.

345753530812800 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 5 + 3 + 530 + 81 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 240273474481 + ... + 240273475919.

It is an arithmetic number, because the mean of its divisors is an integer number (500718889440).

Almost surely, 2^{345753530812800} is an apocalyptic number.

345753530812800 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 345753530812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721035200793600).

345753530812800 is an abundant number, since it is smaller than the sum of its proper divisors (1096316870774400).

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

345753530812800 is a wasteful number, since it uses less digits than its factorization.

345753530812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 345753530812800 in words is "three hundred forty-five trillion, seven hundred fifty-three billion, five hundred thirty million, eight hundred twelve thousand, eight hundred".