3130368000 has 224 divisors, whose sum is σ = 10427451840. Its totient is φ = 833945600.

The previous prime is 3130367959. The next prime is 3130368001. The reversal of 3130368000 is 8630313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130368001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3071491 + ... + 3072509.

Almost surely, 2^3130368000 is an apocalyptic number.

3130368000 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 3130368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213725920).

3130368000 is an abundant number, since it is smaller than the sum of its proper divisors (7297083840).

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

3130368000 is an equidigital number, since it uses as much as digits as its factorization.

3130368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3130368000 is about 55949.6916881586. The cubic root of 3130368000 is about 1462.8455170207.

Adding to 3130368000 its reverse (8630313), we get a palindrome (3138998313).

The spelling of 3130368000 in words is "three billion, one hundred thirty million, three hundred sixty-eight thousand".