345580704 has 288 divisors, whose sum is σ = 1217099520. Its totient is φ = 90832896.

The previous prime is 345580699. The next prime is 345580717. The reversal of 345580704 is 407085543.

345580704 is a `hidden beast` number, since 3 + 4 + 5 + 580 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344544 + ... + 1344800.

It is an arithmetic number, because the mean of its divisors is an integer number (4226040).

Almost surely, 2^345580704 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 345580704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608549760).

345580704 is an abundant number, since it is smaller than the sum of its proper divisors (871518816).

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

345580704 is a wasteful number, since it uses less digits than its factorization.

345580704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 345580704 is about 18589.8010747829. The cubic root of 345580704 is about 701.7511963154.

The spelling of 345580704 in words is "three hundred forty-five million, five hundred eighty thousand, seven hundred four".