345182320 has 80 divisors (see below), whose sum is σ = 922940928. Its totient is φ = 117607680.

The previous prime is 345182311. The next prime is 345182339. The reversal of 345182320 is 23281543.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91675 + ... + 95365.

Almost surely, 2^345182320 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 345182320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461470464).

345182320 is an abundant number, since it is smaller than the sum of its proper divisors (577758608).

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

345182320 is a wasteful number, since it uses less digits than its factorization.

345182320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 345182320 is about 18579.0828621867. The cubic root of 345182320 is about 701.4814340073.

The spelling of 345182320 in words is "three hundred forty-five million, one hundred eighty-two thousand, three hundred twenty".