345028080 has 160 divisors (see below), whose sum is σ = 1120910400. Its totient is φ = 87678976.

The previous prime is 345028069. The next prime is 345028093. The reversal of 345028080 is 80820543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 619162 + ... + 619718.

It is an arithmetic number, because the mean of its divisors is an integer number (7005690).

Almost surely, 2^345028080 is an apocalyptic number.

345028080 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 345028080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560455200).

345028080 is an abundant number, since it is smaller than the sum of its proper divisors (775882320).

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

345028080 is a wasteful number, since it uses less digits than its factorization.

345028080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 345028080 is about 18574.9314938171. The cubic root of 345028080 is about 701.3769359787.

The spelling of 345028080 in words is "three hundred forty-five million, twenty-eight thousand, eighty".