345577800 has 48 divisors (see below), whose sum is σ = 1071293040. Its totient is φ = 92153920.

The previous prime is 345577777. The next prime is 345577823. The reversal of 345577800 is 8775543.

345577800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (345577777) and next prime (345577823).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 287382 + ... + 288581.

It is an arithmetic number, because the mean of its divisors is an integer number (22318605).

Almost surely, 2^345577800 is an apocalyptic number.

345577800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345577800 is an abundant number, since it is smaller than the sum of its proper divisors (725715240).

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

345577800 is a wasteful number, since it uses less digits than its factorization.

345577800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575982 (or 575973 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 345577800 is about 18589.7229672741. The cubic root of 345577800 is about 701.7492306471.

The spelling of 345577800 in words is "three hundred forty-five million, five hundred seventy-seven thousand, eight hundred".