350564760 has 640 divisors, whose sum is σ = 1536796800. Its totient is φ = 69672960.

The previous prime is 350564741. The next prime is 350564807. The reversal of 350564760 is 67465053.

350564760 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 647 + 6 + 0 = 666.

350564760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8550340 + ... + 8550380.

It is an arithmetic number, because the mean of its divisors is an integer number (2401245).

Almost surely, 2^350564760 is an apocalyptic number.

350564760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350564760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768398400).

350564760 is an abundant number, since it is smaller than the sum of its proper divisors (1186232040).

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

350564760 is a wasteful number, since it uses less digits than its factorization.

350564760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 350564760 is about 18723.3746958181. The cubic root of 350564760 is about 705.1087202181.

It can be divided in two parts, 3505 and 64760, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 350564760 in words is "three hundred fifty million, five hundred sixty-four thousand, seven hundred sixty".