3652640 has 48 divisors (see below), whose sum is σ = 8876952. Its totient is φ = 1419264.

The previous prime is 3652633. The next prime is 3652643. The reversal of 3652640 is 462563.

3652640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2676496 + 976144 = 1636^2 + 988^2 .

It is a d-powerful number, because it can be written as 3⁷ + 6⁴ + 5⁹ + 2⁵ + 6⁸ + 4⁷ + 0 .

It is not an unprimeable number, because it can be changed into a prime (3652643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5612 + ... + 6228.

Almost surely, 2^3652640 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 3652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438476).

3652640 is an abundant number, since it is smaller than the sum of its proper divisors (5224312).

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

3652640 is a wasteful number, since it uses less digits than its factorization.

3652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 3652640 is about 1911.1881121439. The cubic root of 3652640 is about 154.0052845772.

The spelling of 3652640 in words is "three million, six hundred fifty-two thousand, six hundred forty".