349017984 has 288 divisors, whose sum is σ = 1216870200. Its totient is φ = 99283968.

The previous prime is 349017967. The next prime is 349017997. The reversal of 349017984 is 489710943.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1523982 + ... + 1524210.

Almost surely, 2^349017984 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 349017984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608435100).

349017984 is an abundant number, since it is smaller than the sum of its proper divisors (867852216).

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

349017984 is an equidigital number, since it uses as much as digits as its factorization.

349017984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 349017984 is about 18682.0230167934. The cubic root of 349017984 is about 704.0701548544.

The spelling of 349017984 in words is "three hundred forty-nine million, seventeen thousand, nine hundred eighty-four".