350820288 has 448 divisors, whose sum is σ = 1338193920. Its totient is φ = 87588864.

The previous prime is 350820269. The next prime is 350820329. The reversal of 350820288 is 882028053.

350820288 is a `hidden beast` number, since 350 + 8 + 20 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 350820288 = 124³ + 704³ = 486³ + 618³.

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 63 ways as a sum of consecutive naturals, for example, 3616656 + ... + 3616752.

It is an arithmetic number, because the mean of its divisors is an integer number (2987040).

Almost surely, 2^350820288 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 350820288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669096960).

350820288 is an abundant number, since it is smaller than the sum of its proper divisors (987373632).

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

350820288 is a wasteful number, since it uses less digits than its factorization.

350820288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 350820288 is about 18730.1972226669. The cubic root of 350820288 is about 705.2799974281.

The spelling of 350820288 in words is "three hundred fifty million, eight hundred twenty thousand, two hundred eighty-eight".