349745280 has 64 divisors (see below), whose sum is σ = 1114819200. Its totient is φ = 93264896.

The previous prime is 349745243. The next prime is 349745281. The reversal of 349745280 is 82547943.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (349745281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89160 + ... + 92999.

It is an arithmetic number, because the mean of its divisors is an integer number (17419050).

Almost surely, 2^349745280 is an apocalyptic number.

349745280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349745280 is an abundant number, since it is smaller than the sum of its proper divisors (765073920).

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

349745280 is a wasteful number, since it uses less digits than its factorization.

349745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182181 (or 182169 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 349745280 is about 18701.4780164563. The cubic root of 349745280 is about 704.5588709607.

The spelling of 349745280 in words is "three hundred forty-nine million, seven hundred forty-five thousand, two hundred eighty".