354641688324 has 243 divisors, whose sum is σ = 1147125087381. Its totient is φ = 92043262080.

The previous prime is 354641688281. The next prime is 354641688329. The reversal of 354641688324 is 423886146453.

The square root of 354641688324 is 595518.

It is a perfect power (a square), and thus also a powerful number.

354641688324 is a `hidden beast` number, since 3 + 546 + 4 + 1 + 68 + 8 + 32 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 287705649924 + 66936038400 = 536382^2 + 258720^2 .

It is not an unprimeable number, because it can be changed into a prime (354641688329) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 275128672 + ... + 275129960.

Almost surely, 2^354641688324 is an apocalyptic number.

354641688324 is the 595518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354641688324

354641688324 is an abundant number, since it is smaller than the sum of its proper divisors (792483399057).

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

354641688324 is a wasteful number, since it uses less digits than its factorization.

354641688324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 1312 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 354641688324 in words is "three hundred fifty-four billion, six hundred forty-one million, six hundred eighty-eight thousand, three hundred twenty-four".