353942784 has 270 divisors, whose sum is σ = 1154137446. Its totient is φ = 107827200.

The previous prime is 353942783. The next prime is 353942807. The reversal of 353942784 is 487249353.

353942784 is a `hidden beast` number, since 3 + 539 + 42 + 78 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 29942784 + 324000000 = 5472^2 + 18000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353942783) 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 29 ways as a sum of consecutive naturals, for example, 3504334 + ... + 3504434.

Almost surely, 2^353942784 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 353942784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577068723).

353942784 is an abundant number, since it is smaller than the sum of its proper divisors (800194662).

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

353942784 is a wasteful number, since it uses less digits than its factorization.

353942784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 119 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 353942784 is about 18813.3671627383. The cubic root of 353942784 is about 707.3662815456.

The spelling of 353942784 in words is "three hundred fifty-three million, nine hundred forty-two thousand, seven hundred eighty-four".