353141856 has 120 divisors (see below), whose sum is σ = 1064231784. Its totient is φ = 114808320.

The previous prime is 353141851. The next prime is 353141891. The reversal of 353141856 is 658141353.

353141856 is a `hidden beast` number, since 3 + 531 + 41 + 85 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 353141856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353141851) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104611 + ... + 107933.

Almost surely, 2^353141856 is an apocalyptic number.

353141856 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 353141856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532115892).

353141856 is an abundant number, since it is smaller than the sum of its proper divisors (711089928).

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

353141856 is a wasteful number, since it uses less digits than its factorization.

353141856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3369 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 353141856 is about 18792.0689653907. The cubic root of 353141856 is about 706.8323182723.

The spelling of 353141856 in words is "three hundred fifty-three million, one hundred forty-one thousand, eight hundred fifty-six".