345960000 has 315 divisors, whose sum is σ = 1280404983. Its totient is φ = 89280000.

The previous prime is 345959989. The next prime is 345960001. The reversal of 345960000 is 69543.

It is a happy number.

The square root of 345960000 is 18600.

It is a perfect power (a square), and thus also a powerful number.

345960000 is a `hidden beast` number, since 3 + 4 + 59 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 318836736 = 5208^2 + 17856^2 .

It is not an unprimeable number, because it can be changed into a prime (345960001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11159985 + ... + 11160015.

Almost surely, 2^345960000 is an apocalyptic number.

345960000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345960000 is the 18600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345960000

345960000 is an abundant number, since it is smaller than the sum of its proper divisors (934444983).

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

345960000 is an equidigital number, since it uses as much as digits as its factorization.

345960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The cubic root of 345960000 is about 702.0078407579.

The spelling of 345960000 in words is "three hundred forty-five million, nine hundred sixty thousand".