345280320 has 560 divisors, whose sum is σ = 1540142208. Its totient is φ = 71331840.

The previous prime is 345280307. The next prime is 345280321. The reversal of 345280320 is 23082543.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345280321) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1995754 + ... + 1995926.

Almost surely, 2^345280320 is an apocalyptic number.

345280320 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 345280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770071104).

345280320 is an abundant number, since it is smaller than the sum of its proper divisors (1194861888).

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

345280320 is a wasteful number, since it uses less digits than its factorization.

345280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 345280320 is about 18581.7200495541. The cubic root of 345280320 is about 701.5478131078.

The spelling of 345280320 in words is "three hundred forty-five million, two hundred eighty thousand, three hundred twenty".