349880784 has 160 divisors (see below), whose sum is σ = 1052504064. Its totient is φ = 99095040.

The previous prime is 349880779. The next prime is 349880813. The reversal of 349880784 is 487088943.

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 31 ways as a sum of consecutive naturals, for example, 570462 + ... + 571074.

Almost surely, 2^349880784 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 349880784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526252032).

349880784 is an abundant number, since it is smaller than the sum of its proper divisors (702623280).

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

349880784 is a wasteful number, since it uses less digits than its factorization.

349880784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 349880784 is about 18705.1004808849. The cubic root of 349880784 is about 704.6498497614.

The spelling of 349880784 in words is "three hundred forty-nine million, eight hundred eighty thousand, seven hundred eighty-four".