3129645680 has 120 divisors (see below), whose sum is σ = 8487791568. Its totient is φ = 1070060544.

The previous prime is 3129645679. The next prime is 3129645689. The reversal of 3129645680 is 865469213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129645689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1790567 + ... + 1792313.

Almost surely, 2^3129645680 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 3129645680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243895784).

3129645680 is an abundant number, since it is smaller than the sum of its proper divisors (5358145888).

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

3129645680 is a wasteful number, since it uses less digits than its factorization.

3129645680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 3129645680 is about 55943.2362310226. The cubic root of 3129645680 is about 1462.7329930985.

The spelling of 3129645680 in words is "three billion, one hundred twenty-nine million, six hundred forty-five thousand, six hundred eighty".