345621444200 has 24 divisors (see below), whose sum is σ = 803569858230. Its totient is φ = 138248577600.

The previous prime is 345621444191. The next prime is 345621444209. The reversal of 345621444200 is 2444126543.

It is an interprime number because it is at equal distance from previous prime (345621444191) and next prime (345621444209).

It can be written as a sum of positive squares in 3 ways, for example, as 330397339204 + 15224104996 = 574802^2 + 123386^2 .

It is not an unprimeable number, because it can be changed into a prime (345621444209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 864053411 + ... + 864053810.

Almost surely, 2^345621444200 is an apocalyptic number.

It is an amenable number.

345621444200 is an abundant number, since it is smaller than the sum of its proper divisors (457948414030).

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

345621444200 is a wasteful number, since it uses less digits than its factorization.

345621444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728107237 (or 1728107228 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 345621444200 in words is "three hundred forty-five billion, six hundred twenty-one million, four hundred forty-four thousand, two hundred".