350364 has 48 divisors (see below), whose sum is σ = 965888. Its totient is φ = 96768.

The previous prime is 350351. The next prime is 350377. The reversal of 350364 is 463053.

It is an interprime number because it is at equal distance from previous prime (350351) and next prime (350377).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 350364.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 350364.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3564 + ... + 3660.

2³⁵⁰³⁶⁴ 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 350364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482944).

350364 is an abundant number, since it is smaller than the sum of its proper divisors (615524).

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

350364 is a wasteful number, since it uses less digits than its factorization.

350364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 350364 is about 591.9155345148. The cubic root of 350364 is about 70.4974094919.

The spelling of 350364 in words is "three hundred fifty thousand, three hundred sixty-four".