353378304 has 84 divisors (see below), whose sum is σ = 1021021326. Its totient is φ = 117768192.

The previous prime is 353378293. The next prime is 353378323. The reversal of 353378304 is 403873353.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 241864704 + 111513600 = 15552^2 + 10560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71332 + ... + 76124.

Almost surely, 2^353378304 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 353378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510510663).

353378304 is an abundant number, since it is smaller than the sum of its proper divisors (667643022).

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

353378304 is an equidigital number, since it uses as much as digits as its factorization.

353378304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 353378304 is about 18798.3590773237. The cubic root of 353378304 is about 706.9900375177.

The spelling of 353378304 in words is "three hundred fifty-three million, three hundred seventy-eight thousand, three hundred four".