350108416 has 72 divisors (see below), whose sum is σ = 826348320. Its totient is φ = 144850944.

The previous prime is 350108413. The next prime is 350108417. The reversal of 350108416 is 614801053.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350108411) 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, 48600 + ... + 55336.

It is an arithmetic number, because the mean of its divisors is an integer number (11477060).

Almost surely, 2^350108416 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 350108416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413174160).

350108416 is an abundant number, since it is smaller than the sum of its proper divisors (476239904).

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

350108416 is an equidigital number, since it uses as much as digits as its factorization.

350108416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6789 (or 6775 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 350108416 is about 18711.1842489993. The cubic root of 350108416 is about 704.8026314030.

Adding to 350108416 its reverse (614801053), we get a palindrome (964909469).

It can be divided in two parts, 350 and 108416, that multiplied together give a square (37945600 = 6160²).

The spelling of 350108416 in words is "three hundred fifty million, one hundred eight thousand, four hundred sixteen".