3652704 has 72 divisors (see below), whose sum is σ = 11341512. Its totient is φ = 1105920.

The previous prime is 3652703. The next prime is 3652757. The reversal of 3652704 is 4072563.

It is a happy number.

3652704 is a `hidden beast` number, since 3 + 652 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3652703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2592 + ... + 3744.

It is an arithmetic number, because the mean of its divisors is an integer number (157521).

Almost surely, 2^3652704 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 3652704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670756).

3652704 is an abundant number, since it is smaller than the sum of its proper divisors (7688808).

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

3652704 is a wasteful number, since it uses less digits than its factorization.

3652704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3652704 is about 1911.2048555819. The cubic root of 3652704 is about 154.0061840436.

It can be divided in two parts, 3652 and 704, that added together give a square (4356 = 66²).

The spelling of 3652704 in words is "three million, six hundred fifty-two thousand, seven hundred four".