345557000 has 128 divisors (see below), whose sum is σ = 851834880. Its totient is φ = 131040000.

The previous prime is 345556997. The next prime is 345557039. The reversal of 345557000 is 755543.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2200922 + ... + 2201078.

It is an arithmetic number, because the mean of its divisors is an integer number (6654960).

Almost surely, 2^345557000 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 345557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425917440).

345557000 is an abundant number, since it is smaller than the sum of its proper divisors (506277880).

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

345557000 is a wasteful number, since it uses less digits than its factorization.

345557000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 29.

The square root of 345557000 is about 18589.1635099592. The cubic root of 345557000 is about 701.7351511577.

The spelling of 345557000 in words is "three hundred forty-five million, five hundred fifty-seven thousand".