349981520 has 240 divisors, whose sum is σ = 1031362560. Its totient is φ = 109734912.

The previous prime is 349981493. The next prime is 349981531. The reversal of 349981520 is 25189943.

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 47 ways as a sum of consecutive naturals, for example, 2755697 + ... + 2755823.

It is an arithmetic number, because the mean of its divisors is an integer number (4297344).

Almost surely, 2^349981520 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 349981520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515681280).

349981520 is an abundant number, since it is smaller than the sum of its proper divisors (681381040).

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

349981520 is a wasteful number, since it uses less digits than its factorization.

349981520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 349981520 is about 18707.7930285750. The cubic root of 349981520 is about 704.7174697424.

The spelling of 349981520 in words is "three hundred forty-nine million, nine hundred eighty-one thousand, five hundred twenty".