353445344 has 48 divisors (see below), whose sum is σ = 804232800. Its totient is φ = 149766144.

The previous prime is 353445329. The next prime is 353445371. The reversal of 353445344 is 443544353.

It is a super-2 number, since 2×353445344² = 249847222390556672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11072 + ... + 28800.

It is an arithmetic number, because the mean of its divisors is an integer number (16754850).

Almost surely, 2^353445344 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 353445344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402116400).

353445344 is an abundant number, since it is smaller than the sum of its proper divisors (450787456).

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

353445344 is a wasteful number, since it uses less digits than its factorization.

353445344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17835 (or 17827 counting only the distinct ones).

The product of its digits is 172800, while the sum is 35.

The square root of 353445344 is about 18800.1421271223. The cubic root of 353445344 is about 707.0347427855.

Adding to 353445344 its reverse (443544353), we get a palindrome (796989697).

Subtracting 353445344 from its reverse (443544353), we obtain a palindrome (90099009).

The spelling of 353445344 in words is "three hundred fifty-three million, four hundred forty-five thousand, three hundred forty-four".