345066600 has 96 divisors (see below), whose sum is σ = 1126044000. Its totient is φ = 87171840.

The previous prime is 345066587. The next prime is 345066613. The reversal of 345066600 is 6660543.

It is an interprime number because it is at equal distance from previous prime (345066587) and next prime (345066613).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 3735 + ... + 26534.

It is an arithmetic number, because the mean of its divisors is an integer number (11729625).

Almost surely, 2^345066600 is an apocalyptic number.

345066600 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 345066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563022000).

345066600 is an abundant number, since it is smaller than the sum of its proper divisors (780977400).

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

345066600 is a wasteful number, since it uses less digits than its factorization.

345066600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30307 (or 30298 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 345066600 is about 18575.9683462263. The cubic root of 345066600 is about 701.4030363029.

The spelling of 345066600 in words is "three hundred forty-five million, sixty-six thousand, six hundred".