349822980 has 72 divisors (see below), whose sum is σ = 1142762712. Its totient is φ = 86109696.

The previous prime is 349822973. The next prime is 349822997. The reversal of 349822980 is 89228943.

349822980 is a `hidden beast` number, since 349 + 8 + 229 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1179396 + 348643584 = 1086^2 + 18672^2 .

It is a super-2 number, since 2×349822980² = 244752234672160800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 72409 + ... + 77088.

Almost surely, 2^349822980 is an apocalyptic number.

349822980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349822980 is an abundant number, since it is smaller than the sum of its proper divisors (792939732).

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

349822980 is a wasteful number, since it uses less digits than its factorization.

349822980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149525 (or 149520 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 349822980 is about 18703.5552770055. Note that the first 3 decimals coincide. The cubic root of 349822980 is about 704.6110424256.

The spelling of 349822980 in words is "three hundred forty-nine million, eight hundred twenty-two thousand, nine hundred eighty".