3652416 has 84 divisors (see below), whose sum is σ = 11114532. Its totient is φ = 1142784.

The previous prime is 3652391. The next prime is 3652421. The reversal of 3652416 is 6142563.

3652416 is a `hidden beast` number, since 3 + 652 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2433600 + 1218816 = 1560^2 + 1104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3652416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9606 + ... + 9978.

Almost surely, 2^3652416 is an apocalyptic number.

3652416 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 3652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557266).

3652416 is an abundant number, since it is smaller than the sum of its proper divisors (7462116).

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

3652416 is a wasteful number, since it uses less digits than its factorization.

3652416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3652416 is about 1911.1295089554. The cubic root of 3652416 is about 154.0021363621.

Adding to 3652416 its reverse (6142563), we get a palindrome (9794979).

The spelling of 3652416 in words is "three million, six hundred fifty-two thousand, four hundred sixteen".