345399824 has 120 divisors (see below), whose sum is σ = 858846816. Its totient is φ = 134164800.

The previous prime is 345399823. The next prime is 345399839. The reversal of 345399824 is 428993543.

It is not an unprimeable number, because it can be changed into a prime (345399823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1043339 + ... + 1043669.

Almost surely, 2^345399824 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 345399824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429423408).

345399824 is an abundant number, since it is smaller than the sum of its proper divisors (513446992).

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

345399824 is a wasteful number, since it uses less digits than its factorization.

345399824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 351 counting only the distinct ones).

The product of its digits is 933120, while the sum is 47.

The square root of 345399824 is about 18584.9354047842. The cubic root of 345399824 is about 701.6287406852.

The spelling of 345399824 in words is "three hundred forty-five million, three hundred ninety-nine thousand, eight hundred twenty-four".