345756320 has 96 divisors (see below), whose sum is σ = 1005395328. Its totient is φ = 109421568.

The previous prime is 345756283. The next prime is 345756347. The reversal of 345756320 is 23657543.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2687 + ... + 26433.

It is an arithmetic number, because the mean of its divisors is an integer number (10472868).

Almost surely, 2^345756320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345756320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502697664).

345756320 is an abundant number, since it is smaller than the sum of its proper divisors (659639008).

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

345756320 is a wasteful number, since it uses less digits than its factorization.

345756320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23782 (or 23774 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 35.

The square root of 345756320 is about 18594.5239250700. The cubic root of 345756320 is about 701.8700473459.

The spelling of 345756320 in words is "three hundred forty-five million, seven hundred fifty-six thousand, three hundred twenty".