349888331520 has 1728 divisors, whose sum is σ = 1634394827520. Its totient is φ = 66985132032.

The previous prime is 349888331483. The next prime is 349888331531. The reversal of 349888331520 is 25133888943.

349888331520 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 8 + 83 + 31 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 516821422 + ... + 516822098.

It is an arithmetic number, because the mean of its divisors is an integer number (945830340).

Almost surely, 2^349888331520 is an apocalyptic number.

349888331520 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 349888331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817197413760).

349888331520 is an abundant number, since it is smaller than the sum of its proper divisors (1284506496000).

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

349888331520 is a wasteful number, since it uses less digits than its factorization.

349888331520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 349888331520 in words is "three hundred forty-nine billion, eight hundred eighty-eight million, three hundred thirty-one thousand, five hundred twenty".