350642560 has 64 divisors (see below), whose sum is σ = 856163520. Its totient is φ = 137261056.

The previous prime is 350642507. The next prime is 350642657. The reversal of 350642560 is 65246053.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 24252 + ... + 35908.

It is an arithmetic number, because the mean of its divisors is an integer number (13377555).

Almost surely, 2^350642560 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 350642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428081760).

350642560 is an abundant number, since it is smaller than the sum of its proper divisors (505520960).

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

350642560 is a wasteful number, since it uses less digits than its factorization.

350642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11723 (or 11711 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 350642560 is about 18725.4521974771. The cubic root of 350642560 is about 705.1608773914.

The spelling of 350642560 in words is "three hundred fifty million, six hundred forty-two thousand, five hundred sixty".