350642304 has 128 divisors (see below), whose sum is σ = 1050192000. Its totient is φ = 115153920.

The previous prime is 350642269. The next prime is 350642311. The reversal of 350642304 is 403246053.

350642304 is a `hidden beast` number, since 350 + 6 + 4 + 2 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 244662 + ... + 246090.

It is an arithmetic number, because the mean of its divisors is an integer number (8204625).

Almost surely, 2^350642304 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 350642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525096000).

350642304 is an abundant number, since it is smaller than the sum of its proper divisors (699549696).

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

350642304 is a wasteful number, since it uses less digits than its factorization.

350642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 350642304 is about 18725.4453618599. The cubic root of 350642304 is about 705.1607057815.

Adding to 350642304 its reverse (403246053), we get a palindrome (753888357).

The spelling of 350642304 in words is "three hundred fifty million, six hundred forty-two thousand, three hundred four".