3189480480 has 144 divisors (see below), whose sum is σ = 10910554200. Its totient is φ = 848461824.

The previous prime is 3189480479. The next prime is 3189480491. The reversal of 3189480480 is 840849813.

3189480480 is a `hidden beast` number, since 3 + 1 + 8 + 94 + 80 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2445500304 + 743980176 = 49452^2 + 27276^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 644094 + ... + 649026.

Almost surely, 2^3189480480 is an apocalyptic number.

3189480480 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 3189480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455277100).

3189480480 is an abundant number, since it is smaller than the sum of its proper divisors (7721073720).

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

3189480480 is a wasteful number, since it uses less digits than its factorization.

3189480480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5403 (or 5392 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3189480480 is about 56475.4856552823. The cubic root of 3189480480 is about 1471.9960666640.

The spelling of 3189480480 in words is "three billion, one hundred eighty-nine million, four hundred eighty thousand, four hundred eighty".