3211780896 has 120 divisors (see below), whose sum is σ = 10001528460. Its totient is φ = 1007603712.

The previous prime is 3211780883. The next prime is 3211780939. The reversal of 3211780896 is 6980871123.

It can be written as a sum of positive squares in 2 ways, for example, as 2743664400 + 468116496 = 52380^2 + 21636^2 .

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 19 ways as a sum of consecutive naturals, for example, 7620 + ... + 80508.

Almost surely, 2^3211780896 is an apocalyptic number.

3211780896 is a gapful number since it is divisible by the number (36) 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 3211780896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000764230).

3211780896 is an abundant number, since it is smaller than the sum of its proper divisors (6789747564).

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

3211780896 is a wasteful number, since it uses less digits than its factorization.

3211780896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72928 (or 72911 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 3211780896 is about 56672.5762251903. The cubic root of 3211780896 is about 1475.4187677763.

The spelling of 3211780896 in words is "three billion, two hundred eleven million, seven hundred eighty thousand, eight hundred ninety-six".