6344006331 has 72 divisors (see below), whose sum is σ = 10072129680. Its totient is φ = 3545278464.

The previous prime is 6344006293. The next prime is 6344006369. The reversal of 6344006331 is 1336004436.

It is an interprime number because it is at equal distance from previous prime (6344006293) and next prime (6344006369).

It is not a de Polignac number, because 6344006331 - 2¹³ = 6343998139 is a prime.

It is a super-2 number, since 2×6344006331² = 80492832655536163122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6344006831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4248421 + ... + 4249913.

It is an arithmetic number, because the mean of its divisors is an integer number (139890690).

Almost surely, 2^6344006331 is an apocalyptic number.

6344006331 is a deficient number, since it is larger than the sum of its proper divisors (3728123349).

6344006331 is a wasteful number, since it uses less digits than its factorization.

6344006331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 6344006331 is about 79649.2707499573. The cubic root of 6344006331 is about 1851.2050907521.

The spelling of 6344006331 in words is "six billion, three hundred forty-four million, six thousand, three hundred thirty-one".