350284880 has 80 divisors (see below), whose sum is σ = 909209664. Its totient is φ = 124400640.

The previous prime is 350284849. The next prime is 350284889. The reversal of 350284880 is 88482053.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×350284880² = 245398994313228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350284889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33212 + ... + 42468.

Almost surely, 2^350284880 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 350284880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454604832).

350284880 is an abundant number, since it is smaller than the sum of its proper divisors (558924784).

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

350284880 is a wasteful number, since it uses less digits than its factorization.

350284880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9324 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 350284880 is about 18715.8991234725. The cubic root of 350284880 is about 704.9210246359.

The spelling of 350284880 in words is "three hundred fifty million, two hundred eighty-four thousand, eight hundred eighty".