353851344 has 360 divisors, whose sum is σ = 1296667008. Its totient is φ = 89026560.

The previous prime is 353851331. The next prime is 353851369. The reversal of 353851344 is 443158353.

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

It is a junction number, because it is equal to n+sod(n) for n = 353851299 and 353851308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3647904 + ... + 3648000.

Almost surely, 2^353851344 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 353851344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648333504).

353851344 is an abundant number, since it is smaller than the sum of its proper divisors (942815664).

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

353851344 is a wasteful number, since it uses less digits than its factorization.

353851344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 353851344 is about 18810.9368187765. The cubic root of 353851344 is about 707.3053610178.

The spelling of 353851344 in words is "three hundred fifty-three million, eight hundred fifty-one thousand, three hundred forty-four".