353427984 has 180 divisors, whose sum is σ = 1239423276. Its totient is φ = 93187584.

The previous prime is 353427983. The next prime is 353428001. The reversal of 353427984 is 489724353.

353427984 is a `hidden beast` number, since 3 + 534 + 27 + 98 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 228614400 + 124813584 = 15120^2 + 11172^2 .

It is a super-2 number, since 2×353427984² = 249822679748608512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353427983) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89802 + ... + 93654.

Almost surely, 2^353427984 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 353427984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619711638).

353427984 is an abundant number, since it is smaller than the sum of its proper divisors (885995292).

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

353427984 is a wasteful number, since it uses less digits than its factorization.

353427984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3878 counting only the distinct ones).

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

The square root of 353427984 is about 18799.6804228157. The cubic root of 353427984 is about 707.0231669042.

The spelling of 353427984 in words is "three hundred fifty-three million, four hundred twenty-seven thousand, nine hundred eighty-four".