349182880 has 48 divisors (see below), whose sum is σ = 826073640. Its totient is φ = 139482112.

The previous prime is 349182877. The next prime is 349182901. The reversal of 349182880 is 88281943.

It can be written as a sum of positive squares in 4 ways, for example, as 253064464 + 96118416 = 15908^2 + 9804^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203466 + ... + 205174.

Almost surely, 2^349182880 is an apocalyptic number.

It is an amenable number.

349182880 is an abundant number, since it is smaller than the sum of its proper divisors (476890760).

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

349182880 is a wasteful number, since it uses less digits than its factorization.

349182880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 349182880 is about 18686.4357222023. The cubic root of 349182880 is about 704.1810183615.

The spelling of 349182880 in words is "three hundred forty-nine million, one hundred eighty-two thousand, eight hundred eighty".