350216100 has 216 divisors, whose sum is σ = 1215625320. Its totient is φ = 83773440.

The previous prime is 350216081. The next prime is 350216107. The reversal of 350216100 is 1612053.

350216100 is a `hidden beast` number, since 3 + 50 + 2 + 1 + 610 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 27941796 + 322274304 = 5286^2 + 17952^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350216107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 432496 + ... + 433304.

It is an arithmetic number, because the mean of its divisors is an integer number (5627895).

Almost surely, 2^350216100 is an apocalyptic number.

350216100 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 350216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607812660).

350216100 is an abundant number, since it is smaller than the sum of its proper divisors (865409220).

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

350216100 is a wasteful number, since it uses less digits than its factorization.

350216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 350216100 is about 18714.0615580905. The cubic root of 350216100 is about 704.8748834857.

Adding to 350216100 its reverse (1612053), we get a palindrome (351828153).

The spelling of 350216100 in words is "three hundred fifty million, two hundred sixteen thousand, one hundred".