345630400 has 168 divisors, whose sum is σ = 916722576. Its totient is φ = 127795200.

The previous prime is 345630367. The next prime is 345630409. The reversal of 345630400 is 4036543.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (345630409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2638335 + ... + 2638465.

It is an arithmetic number, because the mean of its divisors is an integer number (5456682).

Almost surely, 2^345630400 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 345630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458361288).

345630400 is an abundant number, since it is smaller than the sum of its proper divisors (571092176).

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

345630400 is a wasteful number, since it uses less digits than its factorization.

345630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 345630400 is about 18591.1376736336. The cubic root of 345630400 is about 701.7848329889.

Adding to 345630400 its reverse (4036543), we get a palindrome (349666943).

It can be divided in two parts, 3456 and 30400, that added together give a square (33856 = 184²).

The spelling of 345630400 in words is "three hundred forty-five million, six hundred thirty thousand, four hundred".