351434030220 has 288 divisors, whose sum is σ = 1354345574400. Its totient is φ = 71756720640.

The previous prime is 351434030219. The next prime is 351434030237. The reversal of 351434030220 is 22030434153.

351434030220 is a `hidden beast` number, since 3 + 5 + 1 + 434 + 0 + 3 + 0 + 220 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161731 + ... + 853829.

It is an arithmetic number, because the mean of its divisors is an integer number (4702588800).

Almost surely, 2^351434030220 is an apocalyptic number.

351434030220 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 351434030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677172787200).

351434030220 is an abundant number, since it is smaller than the sum of its proper divisors (1002911544180).

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

351434030220 is a wasteful number, since it uses less digits than its factorization.

351434030220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692165 (or 692160 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 351434030220 its reverse (22030434153), we get a palindrome (373464464373).

The spelling of 351434030220 in words is "three hundred fifty-one billion, four hundred thirty-four million, thirty thousand, two hundred twenty".