3867984 has 30 divisors (see below), whose sum is σ = 10825386. Its totient is φ = 1289280.

The previous prime is 3867961. The next prime is 3868003. The reversal of 3867984 is 4897683.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2250000 + 1617984 = 1500^2 + 1272^2 .

It is a super-2 number, since 2×3867984² = 29922600448512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13287 + ... + 13574.

Almost surely, 2^3867984 is an apocalyptic number.

It is an amenable number.

3867984 is an abundant number, since it is smaller than the sum of its proper divisors (6957402).

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

3867984 is a wasteful number, since it uses less digits than its factorization.

3867984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26875 (or 26866 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3867984 is about 1966.7190953464. The cubic root of 3867984 is about 156.9741799669.

It can be divided in two parts, 3867 and 984, that added together give a triangular number (4851 = T₉₈).

The spelling of 3867984 in words is "three million, eight hundred sixty-seven thousand, nine hundred eighty-four".