345084300 has 216 divisors, whose sum is σ = 1224629952. Its totient is φ = 83592000.

The previous prime is 345084269. The next prime is 345084301. The reversal of 345084300 is 3480543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (345084301) 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, 266655 + ... + 267945.

Almost surely, 2^345084300 is an apocalyptic number.

345084300 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 345084300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612314976).

345084300 is an abundant number, since it is smaller than the sum of its proper divisors (879545652).

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

345084300 is a wasteful number, since it uses less digits than its factorization.

345084300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1312 counting only the distinct ones).

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

The square root of 345084300 is about 18576.4447621174. Note that the first 3 decimals coincide. The cubic root of 345084300 is about 701.4150287912.

The spelling of 345084300 in words is "three hundred forty-five million, eighty-four thousand, three hundred".