350306208 has 240 divisors, whose sum is σ = 1207483200. Its totient is φ = 97542144.

The previous prime is 350306197. The next prime is 350306219. The reversal of 350306208 is 802603053.

350306208 is a `hidden beast` number, since 3 + 5 + 0 + 30 + 620 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (350306197) and next prime (350306219).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 779968 + ... + 780416.

It is an arithmetic number, because the mean of its divisors is an integer number (5031180).

Almost surely, 2^350306208 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 350306208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603741600).

350306208 is an abundant number, since it is smaller than the sum of its proper divisors (857176992).

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

350306208 is a wasteful number, since it uses less digits than its factorization.

350306208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 350306208 is about 18716.4688977382. The cubic root of 350306208 is about 704.9353313249.

The spelling of 350306208 in words is "three hundred fifty million, three hundred six thousand, two hundred eight".