345580677 has 48 divisors (see below), whose sum is σ = 560182896. Its totient is φ = 203904000.

The previous prime is 345580673. The next prime is 345580679. The reversal of 345580677 is 776085543.

345580677 is a `hidden beast` number, since 3 + 4 + 5 + 580 + 67 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 89132481 + 256448196 = 9441^2 + 16014^2 .

It is not a de Polignac number, because 345580677 - 2² = 345580673 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345580673) 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 47 ways as a sum of consecutive naturals, for example, 292027 + ... + 293207.

It is an arithmetic number, because the mean of its divisors is an integer number (11670477).

Almost surely, 2^345580677 is an apocalyptic number.

It is an amenable number.

345580677 is a deficient number, since it is larger than the sum of its proper divisors (214602219).

345580677 is a wasteful number, since it uses less digits than its factorization.

345580677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 345580677 is about 18589.8003485782. The cubic root of 345580677 is about 701.7511780397.

The spelling of 345580677 in words is "three hundred forty-five million, five hundred eighty thousand, six hundred seventy-seven".