350416164 has 192 divisors, whose sum is σ = 1041868800. Its totient is φ = 89413632.

The previous prime is 350416151. The next prime is 350416177. The reversal of 350416164 is 461614053.

It is an interprime number because it is at equal distance from previous prime (350416151) and next prime (350416177).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3100972 + ... + 3101084.

It is an arithmetic number, because the mean of its divisors is an integer number (5426400).

Almost surely, 2^350416164 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 350416164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520934400).

350416164 is an abundant number, since it is smaller than the sum of its proper divisors (691452636).

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

350416164 is a wasteful number, since it uses less digits than its factorization.

350416164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 350416164 is about 18719.4060803221. The cubic root of 350416164 is about 705.0090799092.

The spelling of 350416164 in words is "three hundred fifty million, four hundred sixteen thousand, one hundred sixty-four".