344419480 has 64 divisors (see below), whose sum is σ = 816039360. Its totient is φ = 130572288.

The previous prime is 344419477. The next prime is 344419483. The reversal of 344419480 is 84914443.

344419480 = T₃₈₁ + T₃₈₂ + ... + T₁₂₈₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (344419477) and next prime (344419483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344419483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102304 + ... + 105616.

It is an arithmetic number, because the mean of its divisors is an integer number (12750615).

Almost surely, 2^344419480 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 344419480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408019680).

344419480 is an abundant number, since it is smaller than the sum of its proper divisors (471619880).

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

344419480 is a wasteful number, since it uses less digits than its factorization.

344419480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 344419480 is about 18558.5419685923. The cubic root of 344419480 is about 700.9643036409.

The spelling of 344419480 in words is "three hundred forty-four million, four hundred nineteen thousand, four hundred eighty".