350021100 has 288 divisors, whose sum is σ = 1224921600. Its totient is φ = 76032000.

The previous prime is 350021053. The next prime is 350021137. The reversal of 350021100 is 1120053.

350021100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 1758801 + ... + 1758999.

It is an arithmetic number, because the mean of its divisors is an integer number (4253200).

Almost surely, 2^350021100 is an apocalyptic number.

350021100 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 350021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612460800).

350021100 is an abundant number, since it is smaller than the sum of its proper divisors (874900500).

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

350021100 is a wasteful number, since it uses less digits than its factorization.

350021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 350021100 is about 18708.8508465913. The cubic root of 350021100 is about 704.7440346365.

Adding to 350021100 its reverse (1120053), we get a palindrome (351141153).

The spelling of 350021100 in words is "three hundred fifty million, twenty-one thousand, one hundred".