344946672 has 360 divisors, whose sum is σ = 1234920960. Its totient is φ = 89268480.

The previous prime is 344946661. The next prime is 344946673. The reversal of 344946672 is 276649443.

It is a happy number.

344946672 is a `hidden beast` number, since 34 + 494 + 66 + 72 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344946673) 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 71 ways as a sum of consecutive naturals, for example, 4155943 + ... + 4156025.

It is an arithmetic number, because the mean of its divisors is an integer number (3430336).

Almost surely, 2^344946672 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 344946672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617460480).

344946672 is an abundant number, since it is smaller than the sum of its proper divisors (889974288).

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

344946672 is a wasteful number, since it uses less digits than its factorization.

344946672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 344946672 is about 18572.7400240245. The cubic root of 344946672 is about 701.3217692757.

The spelling of 344946672 in words is "three hundred forty-four million, nine hundred forty-six thousand, six hundred seventy-two".