350085978 has 48 divisors (see below), whose sum is σ = 834852096. Its totient is φ = 105141120.

The previous prime is 350085977. The next prime is 350085991. The reversal of 350085978 is 879580053.

350085978 is a `hidden beast` number, since 3 + 50 + 0 + 8 + 597 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (350085977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14551 + ... + 30197.

It is an arithmetic number, because the mean of its divisors is an integer number (17392752).

Almost surely, 2^350085978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350085978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417426048).

350085978 is an abundant number, since it is smaller than the sum of its proper divisors (484766118).

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

350085978 is a wasteful number, since it uses less digits than its factorization.

350085978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15779 (or 15776 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 350085978 is about 18710.5846514747. The cubic root of 350085978 is about 704.7875744487.

The spelling of 350085978 in words is "three hundred fifty million, eighty-five thousand, nine hundred seventy-eight".