345629844 has 72 divisors (see below), whose sum is σ = 1007726720. Its totient is φ = 97837632.

The previous prime is 345629827. The next prime is 345629849. The reversal of 345629844 is 448926543.

345629844 is a `hidden beast` number, since 3 + 4 + 562 + 9 + 84 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 345629844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345629849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21177 + ... + 33759.

Almost surely, 2^345629844 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 345629844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503863360).

345629844 is an abundant number, since it is smaller than the sum of its proper divisors (662096876).

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

345629844 is a wasteful number, since it uses less digits than its factorization.

345629844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12709 (or 12704 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 345629844 is about 18591.1227202663. The cubic root of 345629844 is about 701.7844566789.

The spelling of 345629844 in words is "three hundred forty-five million, six hundred twenty-nine thousand, eight hundred forty-four".