345309743851200 has 1008 divisors, whose sum is σ = 1412028792944640. Its totient is φ = 79456038912000.

The previous prime is 345309743851151. The next prime is 345309743851207. The reversal of 345309743851200 is 2158347903543.

345309743851200 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 0 + 97 + 4 + 38 + 512 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (345309743851207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142989765 + ... + 145384635.

Almost surely, 2^{345309743851200} is an apocalyptic number.

345309743851200 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 345309743851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706014396472320).

345309743851200 is an abundant number, since it is smaller than the sum of its proper divisors (1066719049093440).

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

345309743851200 is a wasteful number, since it uses less digits than its factorization.

345309743851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394966 (or 2394948 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 345309743851200 in words is "three hundred forty-five trillion, three hundred nine billion, seven hundred forty-three million, eight hundred fifty-one thousand, two hundred".