345808320 has 336 divisors, whose sum is σ = 1305336480. Its totient is φ = 77045760.

The previous prime is 345808313. The next prime is 345808321. The reversal of 345808320 is 23808543.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345808321) 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, 1509966 + ... + 1510194.

It is an arithmetic number, because the mean of its divisors is an integer number (3884930).

Almost surely, 2^345808320 is an apocalyptic number.

345808320 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 345808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652668240).

345808320 is an abundant number, since it is smaller than the sum of its proper divisors (959528160).

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

345808320 is a wasteful number, since it uses less digits than its factorization.

345808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 345808320 is about 18595.9221336292. The cubic root of 345808320 is about 701.9052314826.

The spelling of 345808320 in words is "three hundred forty-five million, eight hundred eight thousand, three hundred twenty".