3129966336 has 216 divisors, whose sum is σ = 10006639104. Its totient is φ = 865105920.

The previous prime is 3129966331. The next prime is 3129966341. The reversal of 3129966336 is 6336699213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3129966331) and next prime (3129966341).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129966331) 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 23 ways as a sum of consecutive naturals, for example, 1165251 + ... + 1167933.

Almost surely, 2^3129966336 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 3129966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003319552).

3129966336 is an abundant number, since it is smaller than the sum of its proper divisors (6876672768).

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

3129966336 is a wasteful number, since it uses less digits than its factorization.

3129966336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2726 counting only the distinct ones).

The product of its digits is 944784, while the sum is 48.

The square root of 3129966336 is about 55946.1020626102. The cubic root of 3129966336 is about 1462.7829474320.

The spelling of 3129966336 in words is "three billion, one hundred twenty-nine million, nine hundred sixty-six thousand, three hundred thirty-six".