345556800 has 336 divisors, whose sum is σ = 1329131200. Its totient is φ = 87091200.

The previous prime is 345556793. The next prime is 345556811. The reversal of 345556800 is 8655543.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 820590 + ... + 821010.

Almost surely, 2^345556800 is an apocalyptic number.

345556800 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 345556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664565600).

345556800 is an abundant number, since it is smaller than the sum of its proper divisors (983574400).

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

345556800 is a wasteful number, since it uses less digits than its factorization.

345556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 345556800 is about 18589.1581304803. The cubic root of 345556800 is about 701.7350157753.

The spelling of 345556800 in words is "three hundred forty-five million, five hundred fifty-six thousand, eight hundred".