345411584 has 78 divisors (see below), whose sum is σ = 803979414. Its totient is φ = 147947520.

The previous prime is 345411571. The next prime is 345411587. The reversal of 345411584 is 485114543.

It can be written as a sum of positive squares in only one way, i.e., 321126400 + 24285184 = 17920^2 + 4928^2 .

It is a super-2 number, since 2×345411584² = 238618324722778112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345411587) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199844 + ... + 201564.

Almost surely, 2^345411584 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 345411584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401989707).

345411584 is an abundant number, since it is smaller than the sum of its proper divisors (458567830).

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

345411584 is an equidigital number, since it uses as much as digits as its factorization.

345411584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1730 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 345411584 is about 18585.2517873716. The cubic root of 345411584 is about 701.6367034960.

The spelling of 345411584 in words is "three hundred forty-five million, four hundred eleven thousand, five hundred eighty-four".