345103004023200 has 864 divisors, whose sum is σ = 1275769342411200. Its totient is φ = 90001098270720.

The previous prime is 345103004023187. The next prime is 345103004023207. The reversal of 345103004023200 is 2320400301543.

345103004023200 is a `hidden beast` number, since 3 + 4 + 51 + 0 + 3 + 0 + 0 + 402 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×345103004023200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (345103004023207) 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, 147542967631 + ... + 147542969969.

It is an arithmetic number, because the mean of its divisors is an integer number (1476584887050).

Almost surely, 2^{345103004023200} is an apocalyptic number.

345103004023200 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 345103004023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637884671205600).

345103004023200 is an abundant number, since it is smaller than the sum of its proper divisors (930666338388000).

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

345103004023200 is a wasteful number, since it uses less digits than its factorization.

345103004023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 345103004023200 its reverse (2320400301543), we get a palindrome (347423404324743).

The spelling of 345103004023200 in words is "three hundred forty-five trillion, one hundred three billion, four million, twenty-three thousand, two hundred".