3652264 has 64 divisors (see below), whose sum is σ = 8784000. Its totient is φ = 1422960.

The previous prime is 3652223. The next prime is 3652279. The reversal of 3652264 is 4622563.

It is a happy number.

The cubic root of 3652264 is 154.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (8640) is a multiple of the sum of its prime divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332019 + ... + 332029.

It is an arithmetic number, because the mean of its divisors is an integer number (137250).

Almost surely, 2^3652264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3652264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392000).

3652264 is an abundant number, since it is smaller than the sum of its proper divisors (5131736).

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

3652264 is an equidigital number, since it uses as much as digits as its factorization.

3652264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 20 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 3652264 is about 1911.0897414826.

Subtracting 3652264 from its reverse (4622563), we obtain a cube (970299 = 99³).

It can be divided in two parts, 3652 and 264, that added together give a triangular number (3916 = T₈₈).

The spelling of 3652264 in words is "three million, six hundred fifty-two thousand, two hundred sixty-four".