349656820 has 24 divisors (see below), whose sum is σ = 734718600. Its totient is φ = 139779072.

The previous prime is 349656817. The next prime is 349656851. The reversal of 349656820 is 28656943.

It can be written as a sum of positive squares in 4 ways, for example, as 129549924 + 220106896 = 11382^2 + 14836^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37596 + ... + 45964.

It is an arithmetic number, because the mean of its divisors is an integer number (30613275).

Almost surely, 2^349656820 is an apocalyptic number.

It is an amenable number.

349656820 is an abundant number, since it is smaller than the sum of its proper divisors (385061780).

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

349656820 is a wasteful number, since it uses less digits than its factorization.

349656820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10467 (or 10465 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 349656820 is about 18699.1128131791. The cubic root of 349656820 is about 704.4994653146.

The spelling of 349656820 in words is "three hundred forty-nine million, six hundred fifty-six thousand, eight hundred twenty".