345844800 has 504 divisors, whose sum is σ = 1454359296. Its totient is φ = 76308480.

The previous prime is 345844777. The next prime is 345844801. The reversal of 345844800 is 8448543.

345844800 is a `hidden beast` number, since 34 + 584 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (345844801) 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 71 ways as a sum of consecutive naturals, for example, 4737564 + ... + 4737636.

Almost surely, 2^345844800 is an apocalyptic number.

345844800 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 345844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727179648).

345844800 is an abundant number, since it is smaller than the sum of its proper divisors (1108514496).

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

345844800 is a wasteful number, since it uses less digits than its factorization.

345844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 345844800 is about 18596.9029679675. The cubic root of 345844800 is about 701.9299124027.

The spelling of 345844800 in words is "three hundred forty-five million, eight hundred forty-four thousand, eight hundred".