3129310080 has 576 divisors, whose sum is σ = 12319070400. Its totient is φ = 727474176.

The previous prime is 3129310061. The next prime is 3129310081. The reversal of 3129310080 is 800139213.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129310081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39611481 + ... + 39611559.

It is an arithmetic number, because the mean of its divisors is an integer number (21387275).

Almost surely, 2^3129310080 is an apocalyptic number.

3129310080 is a gapful number since it is divisible by the number (30) 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 3129310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159535200).

3129310080 is an abundant number, since it is smaller than the sum of its proper divisors (9189760320).

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

3129310080 is a wasteful number, since it uses less digits than its factorization.

3129310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3129310080 is about 55940.2366816588. The cubic root of 3129310080 is about 1462.6807070156.

Adding to 3129310080 its reverse (800139213), we get a palindrome (3929449293).

The spelling of 3129310080 in words is "three billion, one hundred twenty-nine million, three hundred ten thousand, eighty".