350066688 has 96 divisors (see below), whose sum is σ = 941129280. Its totient is φ = 115712000.

The previous prime is 350066687. The next prime is 350066701. The reversal of 350066688 is 886660053.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350066687) 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 7 ways as a sum of consecutive naturals, for example, 1394563 + ... + 1394813.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2^350066688 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 350066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

350066688 is an abundant number, since it is smaller than the sum of its proper divisors (591062592).

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

350066688 is a wasteful number, since it uses less digits than its factorization.

350066688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 350066688 is about 18710.0691607487. The cubic root of 350066688 is about 704.7746294362.

The spelling of 350066688 in words is "three hundred fifty million, sixty-six thousand, six hundred eighty-eight".