349577220 has 48 divisors (see below), whose sum is σ = 979691328. Its totient is φ = 93137280.

The previous prime is 349577213. The next prime is 349577227. The reversal of 349577220 is 22775943.

It is an interprime number because it is at equal distance from previous prime (349577213) and next prime (349577227).

It is not an unprimeable number, because it can be changed into a prime (349577227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95830 + ... + 99410.

It is an arithmetic number, because the mean of its divisors is an integer number (20410236).

Almost surely, 2^349577220 is an apocalyptic number.

349577220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349577220 is an abundant number, since it is smaller than the sum of its proper divisors (630114108).

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

349577220 is a wasteful number, since it uses less digits than its factorization.

349577220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 349577220 is about 18696.9842488033. The cubic root of 349577220 is about 704.4460010698.

The spelling of 349577220 in words is "three hundred forty-nine million, five hundred seventy-seven thousand, two hundred twenty".