345555000 has 240 divisors, whose sum is σ = 1337759280. Its totient is φ = 78912000.

The previous prime is 345554999. The next prime is 345555061. The reversal of 345555000 is 555543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 314452 + ... + 315548.

It is an arithmetic number, because the mean of its divisors is an integer number (5573997).

Almost surely, 2^345555000 is an apocalyptic number.

345555000 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 345555000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668879640).

345555000 is an abundant number, since it is smaller than the sum of its proper divisors (992204280).

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

345555000 is a wasteful number, since it uses less digits than its factorization.

345555000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 345555000 is about 18589.1097150993. The cubic root of 345555000 is about 701.7337973309.

The spelling of 345555000 in words is "three hundred forty-five million, five hundred fifty-five thousand".