350011368000 has 2016 divisors, whose sum is σ = 1594044990720. Its totient is φ = 74450534400.

The previous prime is 350011367999. The next prime is 350011368053. The reversal of 350011368000 is 863110053.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3932711956 + ... + 3932712044.

It is an arithmetic number, because the mean of its divisors is an integer number (790696920).

Almost surely, 2^350011368000 is an apocalyptic number.

350011368000 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 350011368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797022495360).

350011368000 is an abundant number, since it is smaller than the sum of its proper divisors (1244033622720).

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

350011368000 is an equidigital number, since it uses as much as digits as its factorization.

350011368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 350011368000 its reverse (863110053), we get a palindrome (350874478053).

The spelling of 350011368000 in words is "three hundred fifty billion, eleven million, three hundred sixty-eight thousand".