345314400 has 72 divisors (see below), whose sum is σ = 1124006184. Its totient is φ = 92083200.

The previous prime is 345314383. The next prime is 345314413. The reversal of 345314400 is 4413543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69541 + ... + 74340.

It is an arithmetic number, because the mean of its divisors is an integer number (15611197).

Almost surely, 2^345314400 is an apocalyptic number.

345314400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345314400 is an abundant number, since it is smaller than the sum of its proper divisors (778691784).

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

345314400 is a wasteful number, since it uses less digits than its factorization.

345314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143904 (or 143891 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 345314400 is about 18582.6370572102. The cubic root of 345314400 is about 701.5708938353.

Adding to 345314400 its reverse (4413543), we get a palindrome (349727943).

The spelling of 345314400 in words is "three hundred forty-five million, three hundred fourteen thousand, four hundred".