345222400 has 216 divisors, whose sum is σ = 958063680. Its totient is φ = 122388480.

The previous prime is 345222359. The next prime is 345222401. The reversal of 345222400 is 4222543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345222401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2067117 + ... + 2067283.

It is an arithmetic number, because the mean of its divisors is an integer number (4435480).

Almost surely, 2^345222400 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 345222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479031840).

345222400 is an abundant number, since it is smaller than the sum of its proper divisors (612841280).

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

345222400 is a wasteful number, since it uses less digits than its factorization.

345222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 345222400 is about 18580.1614632381. The cubic root of 345222400 is about 701.5085832229.

Adding to 345222400 its reverse (4222543), we get a palindrome (349444943).

It can be divided in two parts, 3452 and 22400, that added together give a palindrome (25852).

The spelling of 345222400 in words is "three hundred forty-five million, two hundred twenty-two thousand, four hundred".