350049082368 has 176 divisors, whose sum is σ = 940569315840. Its totient is φ = 115741753344.

The previous prime is 350049082301. The next prime is 350049082391. The reversal of 350049082368 is 863280940053.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 225401080 + ... + 225402632.

It is an arithmetic number, because the mean of its divisors is an integer number (5344143840).

Almost surely, 2^350049082368 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 350049082368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470284657920).

350049082368 is an abundant number, since it is smaller than the sum of its proper divisors (590520233472).

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

350049082368 is a wasteful number, since it uses less digits than its factorization.

350049082368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 350049082368 in words is "three hundred fifty billion, forty-nine million, eighty-two thousand, three hundred sixty-eight".