345328880 has 80 divisors (see below), whose sum is σ = 869111040. Its totient is φ = 126849024.

The previous prime is 345328873. The next prime is 345328889. The reversal of 345328880 is 88823543.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345328889) 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 15 ways as a sum of consecutive naturals, for example, 231176 + ... + 232664.

It is an arithmetic number, because the mean of its divisors is an integer number (10863888).

Almost surely, 2^345328880 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 345328880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434555520).

345328880 is an abundant number, since it is smaller than the sum of its proper divisors (523782160).

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

345328880 is a wasteful number, since it uses less digits than its factorization.

345328880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 345328880 is about 18583.0266641363. The cubic root of 345328880 is about 701.5806999758.

The spelling of 345328880 in words is "three hundred forty-five million, three hundred twenty-eight thousand, eight hundred eighty".