350445888 has 168 divisors, whose sum is σ = 1145807208. Its totient is φ = 101449728.

The previous prime is 350445881. The next prime is 350445913. The reversal of 350445888 is 888544053.

It can be written as a sum of positive squares in 4 ways, for example, as 113039424 + 237406464 = 10632^2 + 15408^2 .

It is a super-2 number, since 2×350445888² = 245624640832217088, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350445881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125920 + ... + 128672.

It is an arithmetic number, because the mean of its divisors is an integer number (6820281).

Almost surely, 2^350445888 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 350445888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572903604).

350445888 is an abundant number, since it is smaller than the sum of its proper divisors (795361320).

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

350445888 is a wasteful number, since it uses less digits than its factorization.

350445888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 350445888 is about 18720.1999989316. The cubic root of 350445888 is about 705.0290134431.

The spelling of 350445888 in words is "three hundred fifty million, four hundred forty-five thousand, eight hundred eighty-eight".