3767984 has 40 divisors (see below), whose sum is σ = 8094720. Its totient is φ = 1684800.

The previous prime is 3767983. The next prime is 3767987. The reversal of 3767984 is 4897673.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (3767983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13769 + ... + 14039.

It is an arithmetic number, because the mean of its divisors is an integer number (202368).

Almost surely, 2^3767984 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 3767984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047360).

3767984 is an abundant number, since it is smaller than the sum of its proper divisors (4326736).

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

3767984 is a wasteful number, since it uses less digits than its factorization.

3767984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its digits is 254016, while the sum is 44.

The square root of 3767984 is about 1941.1295680608. The cubic root of 3767984 is about 155.6095869748.

The spelling of 3767984 in words is "three million, seven hundred sixty-seven thousand, nine hundred eighty-four".