349452576 has 192 divisors, whose sum is σ = 1127831040. Its totient is φ = 104382720.

The previous prime is 349452569. The next prime is 349452577. The reversal of 349452576 is 675254943.

349452576 is a `hidden beast` number, since 34 + 9 + 45 + 2 + 576 = 666.

It is not an unprimeable number, because it can be changed into a prime (349452577) 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 31 ways as a sum of consecutive naturals, for example, 788611 + ... + 789053.

It is an arithmetic number, because the mean of its divisors is an integer number (5874120).

Almost surely, 2^349452576 is an apocalyptic number.

349452576 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 349452576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563915520).

349452576 is an abundant number, since it is smaller than the sum of its proper divisors (778378464).

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

349452576 is a wasteful number, since it uses less digits than its factorization.

349452576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 542 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 349452576 is about 18693.6506867974. The cubic root of 349452576 is about 704.3622662036.

The spelling of 349452576 in words is "three hundred forty-nine million, four hundred fifty-two thousand, five hundred seventy-six".