3765984 has 24 divisors (see below), whose sum is σ = 9885960. Its totient is φ = 1255296.

The previous prime is 3765977. The next prime is 3766013. The reversal of 3765984 is 4895673.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a d-powerful number, because it can be written as 3¹³ + 7³ + 6⁵ + 5³ + 9³ + 8⁷ + 4⁸ .

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19519 + ... + 19710.

It is an arithmetic number, because the mean of its divisors is an integer number (411915).

Almost surely, 2^3765984 is an apocalyptic number.

It is an amenable number.

3765984 is an abundant number, since it is smaller than the sum of its proper divisors (6119976).

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

3765984 is a wasteful number, since it uses less digits than its factorization.

3765984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39242 (or 39234 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 3765984 is about 1940.6143357195. The cubic root of 3765984 is about 155.5820502112.

The spelling of 3765984 in words is "three million, seven hundred sixty-five thousand, nine hundred eighty-four".