3180240000 has 480 divisors, whose sum is σ = 13090059840. Its totient is φ = 725760000.

The previous prime is 3180239999. The next prime is 3180240001. The reversal of 3180240000 is 420813.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3180239999) and next prime (3180240001).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3180240000² = 20227852915200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3180240001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5039685 + ... + 5040315.

It is an arithmetic number, because the mean of its divisors is an integer number (27270958).

Almost surely, 2^3180240000 is an apocalyptic number.

3180240000 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 3180240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6545029920).

3180240000 is an abundant number, since it is smaller than the sum of its proper divisors (9909819840).

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

3180240000 is an equidigital number, since it uses as much as digits as its factorization.

3180240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3180240000 is about 56393.6166600441. The cubic root of 3180240000 is about 1470.5731487080.

Adding to 3180240000 its reverse (420813), we get a palindrome (3180660813).

The spelling of 3180240000 in words is "three billion, one hundred eighty million, two hundred forty thousand".