3180228480 has 864 divisors, whose sum is σ = 13554875880. Its totient is φ = 711659520.

The previous prime is 3180228461. The next prime is 3180228481. The reversal of 3180228480 is 848220813.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3180228480² = 20227706370006220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3180228481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 244632954 + ... + 244632966.

Almost surely, 2^3180228480 is an apocalyptic number.

3180228480 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 3180228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777437940).

3180228480 is an abundant number, since it is smaller than the sum of its proper divisors (10374647400).

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

3180228480 is a wasteful number, since it uses less digits than its factorization.

3180228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 3180228480 is about 56393.5145207319. The cubic root of 3180228480 is about 1470.5713730534.

The spelling of 3180228480 in words is "three billion, one hundred eighty million, two hundred twenty-eight thousand, four hundred eighty".