350221304000 has 112 divisors (see below), whose sum is σ = 870783522336. Its totient is φ = 139529600000.

The previous prime is 350221303967. The next prime is 350221304003. The reversal of 350221304000 is 403122053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (350221304003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920794 + ... + 2095206.

It is an arithmetic number, because the mean of its divisors is an integer number (7774852878).

Almost surely, 2^350221304000 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 350221304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435391761168).

350221304000 is an abundant number, since it is smaller than the sum of its proper divisors (520562218336).

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

350221304000 is a wasteful number, since it uses less digits than its factorization.

350221304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174691 (or 174671 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 350221304000 its reverse (403122053), we get a palindrome (350624426053).

The spelling of 350221304000 in words is "three hundred fifty billion, two hundred twenty-one million, three hundred four thousand".