350311345313220 has 144 divisors (see below), whose sum is σ = 1102202631653760. Its totient is φ = 93396387661056.

The previous prime is 350311345313213. The next prime is 350311345313227. The reversal of 350311345313220 is 22313543113053.

350311345313220 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 113 + 4 + 5 + 313 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (350311345313213) and next prime (350311345313227).

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

It is not an unprimeable number, because it can be changed into a prime (350311345313227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15037384 + ... + 30442496.

It is an arithmetic number, because the mean of its divisors is an integer number (7654184942040).

Almost surely, 2^{350311345313220} is an apocalyptic number.

350311345313220 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 350311345313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551101315826880).

350311345313220 is an abundant number, since it is smaller than the sum of its proper divisors (751891286340540).

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

350311345313220 is a wasteful number, since it uses less digits than its factorization.

350311345313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15409816 (or 15409802 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 350311345313220 its reverse (22313543113053), we get a palindrome (372624888426273).

The spelling of 350311345313220 in words is "three hundred fifty trillion, three hundred eleven billion, three hundred forty-five million, three hundred thirteen thousand, two hundred twenty".