345001664200 has 96 divisors (see below), whose sum is σ = 805808424960. Its totient is φ = 137368486400.

The previous prime is 345001664191. The next prime is 345001664209. The reversal of 345001664200 is 2466100543.

It is an interprime number because it is at equal distance from previous prime (345001664191) and next prime (345001664209).

It is a super-2 number, since 2×345001664200² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345001664209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128395257 + ... + 128397943.

It is an arithmetic number, because the mean of its divisors is an integer number (8393837760).

Almost surely, 2^345001664200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345001664200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402904212480).

345001664200 is an abundant number, since it is smaller than the sum of its proper divisors (460806760760).

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

345001664200 is a wasteful number, since it uses less digits than its factorization.

345001664200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 345001664200 its reverse (2466100543), we get a palindrome (347467764743).

The spelling of 345001664200 in words is "three hundred forty-five billion, one million, six hundred sixty-four thousand, two hundred".