3182474880 has 512 divisors, whose sum is σ = 12557260800. Its totient is φ = 756449280.

The previous prime is 3182474873. The next prime is 3182474891. The reversal of 3182474880 is 884742813.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6963612 + ... + 6964068.

It is an arithmetic number, because the mean of its divisors is an integer number (24525900).

Almost surely, 2^3182474880 is an apocalyptic number.

3182474880 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 3182474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278630400).

3182474880 is an abundant number, since it is smaller than the sum of its proper divisors (9374785920).

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

3182474880 is a wasteful number, since it uses less digits than its factorization.

3182474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 3182474880 is about 56413.4281886857. The cubic root of 3182474880 is about 1470.9175446189.

The spelling of 3182474880 in words is "three billion, one hundred eighty-two million, four hundred seventy-four thousand, eight hundred eighty".