3684512 has 48 divisors (see below), whose sum is σ = 8287272. Its totient is φ = 1597440.

The previous prime is 3684509. The next prime is 3684517. The reversal of 3684512 is 2154863.

It can be written as a sum of positive squares in 4 ways, for example, as 2676496 + 1008016 = 1636^2 + 1004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684517) 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, 6812 + ... + 7332.

Almost surely, 2^3684512 is an apocalyptic number.

3684512 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 3684512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143636).

3684512 is an abundant number, since it is smaller than the sum of its proper divisors (4602760).

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

3684512 is a wasteful number, since it uses less digits than its factorization.

3684512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 553 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 3684512 is about 1919.5082703651. The cubic root of 3684512 is about 154.4519248697.

It can be divided in two parts, 36 and 84512, that added together give a palindrome (84548).

The spelling of 3684512 in words is "three million, six hundred eighty-four thousand, five hundred twelve".