345880000 has 70 divisors (see below), whose sum is σ = 857769176. Its totient is φ = 138336000.

The previous prime is 345879991. The next prime is 345880001. The reversal of 345880000 is 88543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345880001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 35677 + ... + 44323.

Almost surely, 2^345880000 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 345880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428884588).

345880000 is an abundant number, since it is smaller than the sum of its proper divisors (511889176).

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

345880000 is an frugal number, since it uses more digits than its factorization.

345880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8679 (or 8654 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 345880000 is about 18597.8493380283. The cubic root of 345880000 is about 701.9537256803.

The spelling of 345880000 in words is "three hundred forty-five million, eight hundred eighty thousand".