3199784880 has 120 divisors (see below), whose sum is σ = 10537374672. Its totient is φ = 803065856.

The previous prime is 3199784873. The next prime is 3199784891. The reversal of 3199784880 is 884879913.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3199784880² = 20477246556553228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3199784880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46294 + ... + 92426.

Almost surely, 2^3199784880 is an apocalyptic number.

3199784880 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 3199784880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268687336).

3199784880 is an abundant number, since it is smaller than the sum of its proper divisors (7337589792).

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

3199784880 is a wasteful number, since it uses less digits than its factorization.

3199784880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46183 (or 46160 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The square root of 3199784880 is about 56566.6410528325. The cubic root of 3199784880 is about 1473.5795775138.

The spelling of 3199784880 in words is "three billion, one hundred ninety-nine million, seven hundred eighty-four thousand, eight hundred eighty".