4006784844 has 36 divisors (see below), whose sum is σ = 10454982720. Its totient is φ = 1292510880.

The previous prime is 4006784843. The next prime is 4006784857. The reversal of 4006784844 is 4484876004.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4006784844² = 32108649572216208672, 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 4006784844.

It is not an unprimeable number, because it can be changed into a prime (4006784843) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1794039 + ... + 1796270.

Almost surely, 2^4006784844 is an apocalyptic number.

It is an amenable number.

4006784844 is an abundant number, since it is smaller than the sum of its proper divisors (6448197876).

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

4006784844 is a wasteful number, since it uses less digits than its factorization.

4006784844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590350 (or 3590345 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 4006784844 is about 63299.1693784366. The cubic root of 4006784844 is about 1588.2980673587.

The spelling of 4006784844 in words is "four billion, six million, seven hundred eighty-four thousand, eight hundred forty-four".