350420616 has 192 divisors, whose sum is σ = 1184601600. Its totient is φ = 91113984.

The previous prime is 350420597. The next prime is 350420627. The reversal of 350420616 is 616024053.

350420616 is a `hidden beast` number, since 3 + 5 + 0 + 42 + 0 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 350420616.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517270 + ... + 517946.

It is an arithmetic number, because the mean of its divisors is an integer number (6169800).

Almost surely, 2^350420616 is an apocalyptic number.

350420616 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 350420616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592300800).

350420616 is an abundant number, since it is smaller than the sum of its proper divisors (834180984).

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

350420616 is a wasteful number, since it uses less digits than its factorization.

350420616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 350420616 is about 18719.5249939735. The cubic root of 350420616 is about 705.0120655850.

Adding to 350420616 its reverse (616024053), we get a palindrome (966444669).

The spelling of 350420616 in words is "three hundred fifty million, four hundred twenty thousand, six hundred sixteen".