3684096 has 144 divisors (see below), whose sum is σ = 12018720. Its totient is φ = 1105920.

The previous prime is 3684061. The next prime is 3684101. The reversal of 3684096 is 6904863.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3684096.

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, 89836 + ... + 89876.

Almost surely, 2^3684096 is an apocalyptic number.

3684096 is a gapful number since it is divisible by the number (36) 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 3684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6009360).

3684096 is an abundant number, since it is smaller than the sum of its proper divisors (8334624).

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

3684096 is a wasteful number, since it uses less digits than its factorization.

3684096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3684096 is about 1919.3999062207. The cubic root of 3684096 is about 154.4461118503.

The spelling of 3684096 in words is "three million, six hundred eighty-four thousand, ninety-six".