351830016 has 96 divisors (see below), whose sum is σ = 1017234270. Its totient is φ = 117178368.

The previous prime is 351830009. The next prime is 351830027. The reversal of 351830016 is 610038153.

351830016 is a `hidden beast` number, since 351 + 8 + 300 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 298598400 + 53231616 = 17280^2 + 7296^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294316 + ... + 295508.

Almost surely, 2^351830016 is an apocalyptic number.

351830016 is a gapful number since it is divisible by the number (36) 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 351830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508617135).

351830016 is an abundant number, since it is smaller than the sum of its proper divisors (665404254).

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

351830016 is an equidigital number, since it uses as much as digits as its factorization.

351830016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 351830016 is about 18757.1324034352. The cubic root of 351830016 is about 705.9559929448.

Adding to 351830016 its reverse (610038153), we get a palindrome (961868169).

The spelling of 351830016 in words is "three hundred fifty-one million, eight hundred thirty thousand, sixteen".