350606144 has 56 divisors (see below), whose sum is σ = 798137088. Its totient is φ = 149690880.

The previous prime is 350606141. The next prime is 350606149. The reversal of 350606144 is 441606053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350606141) 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 7 ways as a sum of consecutive naturals, for example, 129929 + ... + 132599.

It is an arithmetic number, because the mean of its divisors is an integer number (14252448).

Almost surely, 2^350606144 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 350606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399068544).

350606144 is an abundant number, since it is smaller than the sum of its proper divisors (447530944).

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

350606144 is a wasteful number, since it uses less digits than its factorization.

350606144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 350606144 is about 18724.4798058584. The cubic root of 350606144 is about 705.1364650406.

Subtracting 350606144 from its reverse (441606053), we obtain a palindrome (90999909).

The spelling of 350606144 in words is "three hundred fifty million, six hundred six thousand, one hundred forty-four".