345365280 has 288 divisors, whose sum is σ = 1337394240. Its totient is φ = 80455680.

The previous prime is 345365269. The next prime is 345365287. The reversal of 345365280 is 82563543.

It is a happy number.

345365280 is a `hidden beast` number, since 345 + 36 + 5 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (345365287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355195 + ... + 356165.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2^345365280 is an apocalyptic number.

345365280 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 345365280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668697120).

345365280 is an abundant number, since it is smaller than the sum of its proper divisors (992028960).

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

345365280 is a wasteful number, since it uses less digits than its factorization.

345365280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 345365280 is about 18584.0060266886. The cubic root of 345365280 is about 701.6053495603.

The spelling of 345365280 in words is "three hundred forty-five million, three hundred sixty-five thousand, two hundred eighty".