349980576 has 96 divisors (see below), whose sum is σ = 1034643456. Its totient is φ = 102624000.

The previous prime is 349980529. The next prime is 349980583. The reversal of 349980576 is 675089943.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27391 + ... + 38081.

It is an arithmetic number, because the mean of its divisors is an integer number (10777536).

Almost surely, 2^349980576 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 349980576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517321728).

349980576 is an abundant number, since it is smaller than the sum of its proper divisors (684662880).

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

349980576 is a wasteful number, since it uses less digits than its factorization.

349980576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10746 (or 10738 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 349980576 is about 18707.7677984307. The cubic root of 349980576 is about 704.7168361338.

The spelling of 349980576 in words is "three hundred forty-nine million, nine hundred eighty thousand, five hundred seventy-six".