349286784 has 128 divisors (see below), whose sum is σ = 1156826880. Its totient is φ = 90716160.

The previous prime is 349286761. The next prime is 349286803. The reversal of 349286784 is 487682943.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23662 + ... + 35474.

It is an arithmetic number, because the mean of its divisors is an integer number (9037710).

Almost surely, 2^349286784 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 349286784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578413440).

349286784 is an abundant number, since it is smaller than the sum of its proper divisors (807540096).

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

349286784 is a wasteful number, since it uses less digits than its factorization.

349286784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11848 (or 11836 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 349286784 is about 18689.2157138816. The cubic root of 349286784 is about 704.2508575706.

The spelling of 349286784 in words is "three hundred forty-nine million, two hundred eighty-six thousand, seven hundred eighty-four".