344005632 has 132 divisors (see below), whose sum is σ = 1003766920. Its totient is φ = 113467392.

The previous prime is 344005631. The next prime is 344005639. The reversal of 344005632 is 236500443.

It is a junction number, because it is equal to n+sod(n) for n = 344005596 and 344005605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344005631) 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 11 ways as a sum of consecutive naturals, for example, 1502094 + ... + 1502322.

Almost surely, 2^344005632 is an apocalyptic number.

344005632 is a gapful number since it is divisible by the number (32) 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 344005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501883460).

344005632 is an abundant number, since it is smaller than the sum of its proper divisors (659761288).

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

344005632 is a wasteful number, since it uses less digits than its factorization.

344005632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 344005632 is about 18547.3888189146. The cubic root of 344005632 is about 700.6834359204.

The spelling of 344005632 in words is "three hundred forty-four million, five thousand, six hundred thirty-two".