3130068480 has 640 divisors, whose sum is σ = 12822036480. Its totient is φ = 632586240.

The previous prime is 3130068451. The next prime is 3130068503. The reversal of 3130068480 is 848600313.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39621081 + ... + 39621159.

It is an arithmetic number, because the mean of its divisors is an integer number (20034432).

Almost surely, 2^3130068480 is an apocalyptic number.

3130068480 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 3130068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6411018240).

3130068480 is an abundant number, since it is smaller than the sum of its proper divisors (9691968000).

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

3130068480 is a wasteful number, since it uses less digits than its factorization.

3130068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3130068480 is about 55947.0149337746. The cubic root of 3130068480 is about 1462.7988595176.

Adding to 3130068480 its reverse (848600313), we get a palindrome (3978668793).

The spelling of 3130068480 in words is "three billion, one hundred thirty million, sixty-eight thousand, four hundred eighty".