345611800 has 48 divisors (see below), whose sum is σ = 838495440. Its totient is φ = 132232320.

The previous prime is 345611797. The next prime is 345611809. The reversal of 345611800 is 8116543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345611809) 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 11 ways as a sum of consecutive naturals, for example, 32967 + ... + 42166.

It is an arithmetic number, because the mean of its divisors is an integer number (17468655).

Almost surely, 2^345611800 is an apocalyptic number.

It is an amenable number.

345611800 is an abundant number, since it is smaller than the sum of its proper divisors (492883640).

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

345611800 is a wasteful number, since it uses less digits than its factorization.

345611800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75172 (or 75163 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 345611800 is about 18590.6374285553. The cubic root of 345611800 is about 701.7722439805.

The spelling of 345611800 in words is "three hundred forty-five million, six hundred eleven thousand, eight hundred".