349998084 has 120 divisors (see below), whose sum is σ = 970377408. Its totient is φ = 109771200.

The previous prime is 349998067. The next prime is 349998097. The reversal of 349998084 is 480899943.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 349998084.

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 39 ways as a sum of consecutive naturals, for example, 498934 + ... + 499634.

Almost surely, 2^349998084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349998084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485188704).

349998084 is an abundant number, since it is smaller than the sum of its proper divisors (620379324).

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

349998084 is a wasteful number, since it uses less digits than its factorization.

349998084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 349998084 is about 18708.2357265457. The cubic root of 349998084 is about 704.7285872399.

The spelling of 349998084 in words is "three hundred forty-nine million, nine hundred ninety-eight thousand, eighty-four".