345352200 has 96 divisors (see below), whose sum is σ = 1078056000. Its totient is φ = 91452160.

The previous prime is 345352177. The next prime is 345352207. The reversal of 345352200 is 2253543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (345352207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87469 + ... + 91331.

It is an arithmetic number, because the mean of its divisors is an integer number (11229750).

Almost surely, 2^345352200 is an apocalyptic number.

345352200 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 345352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539028000).

345352200 is an abundant number, since it is smaller than the sum of its proper divisors (732703800).

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

345352200 is a wasteful number, since it uses less digits than its factorization.

345352200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 345352200 is about 18583.6541078443. The cubic root of 345352200 is about 701.5964921617.

The spelling of 345352200 in words is "three hundred forty-five million, three hundred fifty-two thousand, two hundred".