3652824 has 64 divisors (see below), whose sum is σ = 11059200. Its totient is φ = 981504.

The previous prime is 3652819. The next prime is 3652829. The reversal of 3652824 is 4282563.

It is an interprime number because it is at equal distance from previous prime (3652819) and next prime (3652829).

It is a d-powerful number, because it can be written as 3⁹ + 6⁸ + 5⁹ + 2³ + 8 + 2⁷ + 4⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 3652791 and 3652800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3652829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2217 + ... + 3495.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

Almost surely, 2^3652824 is an apocalyptic number.

3652824 is a gapful number since it is divisible by the number (34) 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 3652824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529600).

3652824 is an abundant number, since it is smaller than the sum of its proper divisors (7406376).

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

3652824 is a wasteful number, since it uses less digits than its factorization.

3652824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1308 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 3652824 is about 1911.2362491330. The cubic root of 3652824 is about 154.0078705147.

The spelling of 3652824 in words is "three million, six hundred fifty-two thousand, eight hundred twenty-four".