345120000 has 180 divisors, whose sum is σ = 1149382080. Its totient is φ = 91904000.

The previous prime is 345119989. The next prime is 345120007. The reversal of 345120000 is 21543.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479641 + ... + 480359.

It is an arithmetic number, because the mean of its divisors is an integer number (6385456).

Almost surely, 2^345120000 is an apocalyptic number.

345120000 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 345120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574691040).

345120000 is an abundant number, since it is smaller than the sum of its proper divisors (804262080).

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

345120000 is an frugal number, since it uses more digits than its factorization.

345120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 345120000 is about 18577.4056315730. The cubic root of 345120000 is about 701.4392157827.

Adding to 345120000 its reverse (21543), we get a palindrome (345141543).

The spelling of 345120000 in words is "three hundred forty-five million, one hundred twenty thousand".