3683712 has 64 divisors (see below), whose sum is σ = 10024560. Its totient is φ = 1198080.

The previous prime is 3683677. The next prime is 3683717. The reversal of 3683712 is 2173863.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3683712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3683717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20262 + ... + 20442.

Almost surely, 2^3683712 is an apocalyptic number.

3683712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3683712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012280).

3683712 is an abundant number, since it is smaller than the sum of its proper divisors (6340848).

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

3683712 is a wasteful number, since it uses less digits than its factorization.

3683712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 3683712 is about 1919.2998723493. The cubic root of 3683712 is about 154.4407455978.

The spelling of 3683712 in words is "three million, six hundred eighty-three thousand, seven hundred twelve".