344964 has 48 divisors (see below), whose sum is σ = 907200. Its totient is φ = 101376.

The previous prime is 344963. The next prime is 344969. The reversal of 344964 is 469443.

It is a super-2 number, since 2×344964² = 238000322592, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁹ + 4² + 9² + 4⁷ + 6⁶ + 4⁹ .

It is not an unprimeable number, because it can be changed into a prime (344963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3832 + ... + 3920.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2³⁴⁴⁹⁶⁴ is an apocalyptic number.

344964 is a gapful number since it is divisible by the number (34) 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 344964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

344964 is an abundant number, since it is smaller than the sum of its proper divisors (562236).

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

344964 is a wasteful number, since it uses less digits than its factorization.

344964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 344964 is about 587.3363601889. The cubic root of 344964 is about 70.1333512444.

The spelling of 344964 in words is "three hundred forty-four thousand, nine hundred sixty-four".