345492224 has 144 divisors (see below), whose sum is σ = 911264256. Its totient is φ = 126566400.

The previous prime is 345492221. The next prime is 345492239. The reversal of 345492224 is 422294543.

It is not an unprimeable number, because it can be changed into a prime (345492221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334589 + ... + 335619.

It is an arithmetic number, because the mean of its divisors is an integer number (6328224).

Almost surely, 2^345492224 is an apocalyptic number.

345492224 is a gapful number since it is divisible by the number (34) 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 345492224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455632128).

345492224 is an abundant number, since it is smaller than the sum of its proper divisors (565772032).

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

345492224 is a wasteful number, since it uses less digits than its factorization.

345492224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1068 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 345492224 is about 18587.4211228992. The cubic root of 345492224 is about 701.6913007590.

The spelling of 345492224 in words is "three hundred forty-five million, four hundred ninety-two thousand, two hundred twenty-four".