3900984 has 64 divisors (see below), whose sum is σ = 10506240. Its totient is φ = 1203840.

The previous prime is 3900943. The next prime is 3900989. The reversal of 3900984 is 4890093.

3900984 = T₂₈₇ + T₂₈₈ + ... + T₃₆₀.

3900984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20329 + ... + 20519.

It is an arithmetic number, because the mean of its divisors is an integer number (164160).

Almost surely, 2^3900984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3900984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253120).

3900984 is an abundant number, since it is smaller than the sum of its proper divisors (6605256).

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

3900984 is a wasteful number, since it uses less digits than its factorization.

3900984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3900984 is about 1975.0908839848. The cubic root of 3900984 is about 157.4193288058.

It can be divided in two parts, 39009 and 84, that added together give a palindrome (39093).

The spelling of 3900984 in words is "three million, nine hundred thousand, nine hundred eighty-four".