350019072 has 120 divisors (see below), whose sum is σ = 1088070984. Its totient is φ = 107679744.

The previous prime is 350019071. The next prime is 350019077. The reversal of 350019072 is 270910053.

350019072 is a `hidden beast` number, since 3 + 500 + 1 + 90 + 72 = 666.

350019072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350019071) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 56983 + ... + 62825.

Almost surely, 2^350019072 is an apocalyptic number.

350019072 is a gapful number since it is divisible by the number (32) 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 350019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544035492).

350019072 is an abundant number, since it is smaller than the sum of its proper divisors (738051912).

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

350019072 is a wasteful number, since it uses less digits than its factorization.

350019072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 350019072 is about 18708.7966475666. The cubic root of 350019072 is about 704.7426735532.

The spelling of 350019072 in words is "three hundred fifty million, nineteen thousand, seventy-two".