4000783984 has 40 divisors (see below), whose sum is σ = 8002135152. Its totient is φ = 1936542720.

The previous prime is 4000783979. The next prime is 4000783993. The reversal of 4000783984 is 4893870004.

It is a Harshad number since it is a multiple of its sum of digits (43).

Together with 4001351168 it forms an amicable pair .

It is a self number, because there is not a number n which added to its sum of digits gives 4000783984.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 52014 + ... + 103474.

Almost surely, 2^4000783984 is an apocalyptic number.

It is an amenable number.

4000783984 is an abundant number, since it is smaller than the sum of its proper divisors (4001351168).

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

4000783984 is a wasteful number, since it uses less digits than its factorization.

4000783984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51625 (or 51619 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 4000783984 is about 63251.7508374274. The cubic root of 4000783984 is about 1587.5047532790.

The spelling of 4000783984 in words is "four billion, seven hundred eighty-three thousand, nine hundred eighty-four".