349787116224 has 1008 divisors, whose sum is σ = 1323611190720. Its totient is φ = 87369891840.

The previous prime is 349787116219. The next prime is 349787116307. The reversal of 349787116224 is 422611787943.

349787116224 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 8 + 7 + 1 + 1 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a nude number because it is divisible by every one of its digits.

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 143 ways as a sum of consecutive naturals, for example, 1527454542 + ... + 1527454770.

It is an arithmetic number, because the mean of its divisors is an integer number (1313106340).

Almost surely, 2^349787116224 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 349787116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661805595360).

349787116224 is an abundant number, since it is smaller than the sum of its proper divisors (973824074496).

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

349787116224 is a wasteful number, since it uses less digits than its factorization.

349787116224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 458 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 349787116224 in words is "three hundred forty-nine billion, seven hundred eighty-seven million, one hundred sixteen thousand, two hundred twenty-four".