349000099840 has 192 divisors, whose sum is σ = 968570628480. Its totient is φ = 118213509120.

The previous prime is 349000099831. The next prime is 349000099849. The reversal of 349000099840 is 48990000943.

It is an interprime number because it is at equal distance from previous prime (349000099831) and next prime (349000099849).

It is not an unprimeable number, because it can be changed into a prime (349000099849) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5920110 + ... + 5978770.

It is an arithmetic number, because the mean of its divisors is an integer number (5044638690).

Almost surely, 2^349000099840 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 349000099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484285314240).

349000099840 is an abundant number, since it is smaller than the sum of its proper divisors (619570528640).

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

349000099840 is an equidigital number, since it uses as much as digits as its factorization.

349000099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58778 (or 58758 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 349000099840 in words is "three hundred forty-nine billion, ninety-nine thousand, eight hundred forty".