350976 has 36 divisors (see below), whose sum is σ = 936152. Its totient is φ = 116736.

The previous prime is 350971. The next prime is 350981. The reversal of 350976 is 679053.

350976 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (350971) and next prime (350981).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 350976.

It is not an unprimeable number, because it can be changed into a prime (350971) by changing a digit.

350976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 540 + ... + 996.

2³⁵⁰⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468076).

350976 is an abundant number, since it is smaller than the sum of its proper divisors (585176).

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

350976 is an equidigital number, since it uses as much as digits as its factorization.

350976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 350976 is about 592.4322746104. The cubic root of 350976 is about 70.5384328448.

It can be divided in two parts, 350 and 976, that added together give a triangular number (1326 = T₅₁).

The spelling of 350976 in words is "three hundred fifty thousand, nine hundred seventy-six".