3777984 has 84 divisors (see below), whose sum is σ = 12389104. Its totient is φ = 1078272.

The previous prime is 3777973. The next prime is 3777989. The reversal of 3777984 is 4897773.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3777989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3564 + ... + 4500.

Almost surely, 2^3777984 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 3777984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6194552).

3777984 is an abundant number, since it is smaller than the sum of its proper divisors (8611120).

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

3777984 is a wasteful number, since it uses less digits than its factorization.

3777984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 949 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 3777984 is about 1943.7036811201. The cubic root of 3777984 is about 155.7471248289.

It can be divided in two parts, 3777 and 984, that added together give a square (4761 = 69²).

The spelling of 3777984 in words is "three million, seven hundred seventy-seven thousand, nine hundred eighty-four".