349811520 has 112 divisors (see below), whose sum is σ = 1121176320. Its totient is φ = 92399616.

The previous prime is 349811513. The next prime is 349811537. The reversal of 349811520 is 25118943.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102969 + ... + 106311.

Almost surely, 2^349811520 is an apocalyptic number.

349811520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560588160).

349811520 is an abundant number, since it is smaller than the sum of its proper divisors (771364800).

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

349811520 is a wasteful number, since it uses less digits than its factorization.

349811520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 349811520 is about 18703.2489156296. The cubic root of 349811520 is about 704.6033481238.

The spelling of 349811520 in words is "three hundred forty-nine million, eight hundred eleven thousand, five hundred twenty".