354294336 has 112 divisors (see below), whose sum is σ = 1028517120. Its totient is φ = 106744320.

The previous prime is 354294301. The next prime is 354294337. The reversal of 354294336 is 633492453.

It is a junction number, because it is equal to n+sod(n) for n = 354294294 and 354294303.

It is not an unprimeable number, because it can be changed into a prime (354294337) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 479055 + ... + 479793.

Almost surely, 2^354294336 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 354294336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514258560).

354294336 is an abundant number, since it is smaller than the sum of its proper divisors (674222784).

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

354294336 is a wasteful number, since it uses less digits than its factorization.

354294336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 982 counting only the distinct ones).

The product of its digits is 233280, while the sum is 39.

The square root of 354294336 is about 18822.7079879596. The cubic root of 354294336 is about 707.6004001241.

The spelling of 354294336 in words is "three hundred fifty-four million, two hundred ninety-four thousand, three hundred thirty-six".