349792580 has 24 divisors (see below), whose sum is σ = 748426392. Its totient is φ = 137276672.

The previous prime is 349792543. The next prime is 349792591. The reversal of 349792580 is 85297943.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 157803844 + 191988736 = 12562^2 + 13856^2 .

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 7 ways as a sum of consecutive naturals, for example, 163937 + ... + 166056.

It is an arithmetic number, because the mean of its divisors is an integer number (31184433).

Almost surely, 2^349792580 is an apocalyptic number.

It is an amenable number.

349792580 is an abundant number, since it is smaller than the sum of its proper divisors (398633812).

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

349792580 is a wasteful number, since it uses less digits than its factorization.

349792580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330055 (or 330053 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 349792580 is about 18702.7425796325. The cubic root of 349792580 is about 704.5906313440.

The spelling of 349792580 in words is "three hundred forty-nine million, seven hundred ninety-two thousand, five hundred eighty".