3693984 has 96 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 1005312.

The previous prime is 3693983. The next prime is 3693997. The reversal of 3693984 is 4893963.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 3⁷ + 6³ + 9 + 3¹³ + 9² + 8⁷ + 4² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3693983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15337 + ... + 15575.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 2^3693984 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 3693984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3693984 is an abundant number, since it is smaller than the sum of its proper divisors (7918176).

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

3693984 is a wasteful number, since it uses less digits than its factorization.

3693984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 3693984 is about 1921.9739852558. The cubic root of 3693984 is about 154.5841646138.

The spelling of 3693984 in words is "three million, six hundred ninety-three thousand, nine hundred eighty-four".