349800528 has 320 divisors, whose sum is σ = 1206779904. Its totient is φ = 84672000.

The previous prime is 349800509. The next prime is 349800533. The reversal of 349800528 is 825008943.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 4926733 + ... + 4926803.

Almost surely, 2^349800528 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 349800528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603389952).

349800528 is an abundant number, since it is smaller than the sum of its proper divisors (856979376).

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

349800528 is a wasteful number, since it uses less digits than its factorization.

349800528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 349800528 is about 18702.9550606315. The cubic root of 349800528 is about 704.5959678817.

The spelling of 349800528 in words is "three hundred forty-nine million, eight hundred thousand, five hundred twenty-eight".