3668784 has 80 divisors (see below), whose sum is σ = 11070720. Its totient is φ = 1025280.

The previous prime is 3668759. The next prime is 3668801. The reversal of 3668784 is 4878663.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

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

Its product of digits (193536) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20407 + ... + 20585.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

Almost surely, 2^3668784 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 3668784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535360).

3668784 is an abundant number, since it is smaller than the sum of its proper divisors (7401936).

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

3668784 is a wasteful number, since it uses less digits than its factorization.

3668784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 3668784 is about 1915.4070063566. The cubic root of 3668784 is about 154.2318428421.

The spelling of 3668784 in words is "three million, six hundred sixty-eight thousand, seven hundred eighty-four".