349209978 has 64 divisors (see below), whose sum is σ = 782745600. Its totient is φ = 103135680.

The previous prime is 349209977. The next prime is 349210007. The reversal of 349209978 is 879902943.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 349209978.

It is not an unprimeable number, because it can be changed into a prime (349209977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335583 + ... + 336621.

It is an arithmetic number, because the mean of its divisors is an integer number (12230400).

Almost surely, 2^349209978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349209978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391372800).

349209978 is an abundant number, since it is smaller than the sum of its proper divisors (433535622).

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

349209978 is a wasteful number, since it uses less digits than its factorization.

349209978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227.

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 349209978 is about 18687.1607795299. The cubic root of 349209978 is about 704.1992336528.

The spelling of 349209978 in words is "three hundred forty-nine million, two hundred nine thousand, nine hundred seventy-eight".