353416896 has 336 divisors, whose sum is σ = 1252752384. Its totient is φ = 93063168.

The previous prime is 353416883. The next prime is 353416897. The reversal of 353416896 is 698614353.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (353416897) 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 47 ways as a sum of consecutive naturals, for example, 3431181 + ... + 3431283.

Almost surely, 2^353416896 is an apocalyptic number.

353416896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626376192).

353416896 is an abundant number, since it is smaller than the sum of its proper divisors (899335488).

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

353416896 is a wasteful number, since it uses less digits than its factorization.

353416896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 353416896 is about 18799.3855218728. The cubic root of 353416896 is about 707.0157730783.

The spelling of 353416896 in words is "three hundred fifty-three million, four hundred sixteen thousand, eight hundred ninety-six".