345830400 has 396 divisors, whose sum is σ = 1319905600. Its totient is φ = 86261760.

The previous prime is 345830399. The next prime is 345830413. The reversal of 345830400 is 4038543.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4377561 + ... + 4377639.

Almost surely, 2^345830400 is an apocalyptic number.

345830400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659952800).

345830400 is an abundant number, since it is smaller than the sum of its proper divisors (974075200).

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

345830400 is a wasteful number, since it uses less digits than its factorization.

345830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 345830400 is about 18596.5158026981. The cubic root of 345830400 is about 701.9201701416.

Adding to 345830400 its reverse (4038543), we get a palindrome (349868943).

The spelling of 345830400 in words is "three hundred forty-five million, eight hundred thirty thousand, four hundred".