349458984 has 72 divisors (see below), whose sum is σ = 1100985210. Its totient is φ = 99844416.

The previous prime is 349458983. The next prime is 349458997. The reversal of 349458984 is 489854943.

It can be written as a sum of positive squares in only one way, i.e., 349316100 + 142884 = 18690^2 + 378^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 349458984.

It is not an unprimeable number, because it can be changed into a prime (349458983) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 45999 + ... + 53054.

Almost surely, 2^349458984 is an apocalyptic number.

It is an amenable number.

349458984 is an abundant number, since it is smaller than the sum of its proper divisors (751526226).

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

349458984 is a wasteful number, since it uses less digits than its factorization.

349458984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99079 (or 99065 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 349458984 is about 18693.8220811048. The cubic root of 349458984 is about 704.3665715335.

The spelling of 349458984 in words is "three hundred forty-nine million, four hundred fifty-eight thousand, nine hundred eighty-four".