3684240 has 240 divisors, whose sum is σ = 15320448. Its totient is φ = 774144.

The previous prime is 3684229. The next prime is 3684253. The reversal of 3684240 is 424863.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85659 + ... + 85701.

Almost surely, 2^3684240 is an apocalyptic number.

3684240 is a gapful number since it is divisible by the number (30) 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 3684240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660224).

3684240 is an abundant number, since it is smaller than the sum of its proper divisors (11636208).

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

3684240 is a wasteful number, since it uses less digits than its factorization.

3684240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3684240 is about 1919.4374175784. The cubic root of 3684240 is about 154.4481240988.

The spelling of 3684240 in words is "three million, six hundred eighty-four thousand, two hundred forty".