350384082048 has 1920 divisors, whose sum is σ = 1463563728000. Its totient is φ = 82423111680.

The previous prime is 350384082047. The next prime is 350384082053. The reversal of 350384082048 is 840280483053.

350384082048 is a `hidden beast` number, since 3 + 5 + 0 + 38 + 408 + 204 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 350384081994 and 350384082012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350384082047) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 6611020390 + ... + 6611020442.

It is an arithmetic number, because the mean of its divisors is an integer number (762272775).

Almost surely, 2^350384082048 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 350384082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731781864000).

350384082048 is an abundant number, since it is smaller than the sum of its proper divisors (1113179645952).

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

350384082048 is a wasteful number, since it uses less digits than its factorization.

350384082048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 350384082048 in words is "three hundred fifty billion, three hundred eighty-four million, eighty-two thousand, forty-eight".