353696544 has 120 divisors (see below), whose sum is σ = 1057736988. Its totient is φ = 115914240.

The previous prime is 353696537. The next prime is 353696549. The reversal of 353696544 is 445696353.

It can be written as a sum of positive squares in 2 ways, for example, as 346406544 + 7290000 = 18612^2 + 2700^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 353696544.

It is not an unprimeable number, because it can be changed into a prime (353696549) 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 19 ways as a sum of consecutive naturals, for example, 156994 + ... + 159230.

Almost surely, 2^353696544 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 353696544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528868494).

353696544 is an abundant number, since it is smaller than the sum of its proper divisors (704040444).

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

353696544 is a wasteful number, since it uses less digits than its factorization.

353696544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2303 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 353696544 is about 18806.8217410598. The cubic root of 353696544 is about 707.2022039133.

The spelling of 353696544 in words is "three hundred fifty-three million, six hundred ninety-six thousand, five hundred forty-four".