344024064 has 176 divisors, whose sum is σ = 1065095040. Its totient is φ = 109486080.

The previous prime is 344024063. The next prime is 344024111. The reversal of 344024064 is 460420443.

It is a super-2 number, since 2×344024064² = 236705113222152192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344024063) 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, 635634 + ... + 636174.

Almost surely, 2^344024064 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 344024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532547520).

344024064 is an abundant number, since it is smaller than the sum of its proper divisors (721070976).

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

344024064 is a wasteful number, since it uses less digits than its factorization.

344024064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 344024064 is about 18547.8857016103. The cubic root of 344024064 is about 700.6959500241.

The spelling of 344024064 in words is "three hundred forty-four million, twenty-four thousand, sixty-four".