3645576 has 48 divisors (see below), whose sum is σ = 10773360. Its totient is φ = 1104480.

The previous prime is 3645571. The next prime is 3645581. The reversal of 3645576 is 6755463.

3645576 is a `hidden beast` number, since 3 + 645 + 5 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3645571) and next prime (3645581).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3645576.

It is not an unprimeable number, because it can be changed into a prime (3645571) 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, 1510 + ... + 3093.

It is an arithmetic number, because the mean of its divisors is an integer number (224445).

Almost surely, 2^3645576 is an apocalyptic number.

3645576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3645576 is an abundant number, since it is smaller than the sum of its proper divisors (7127784).

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

3645576 is a wasteful number, since it uses less digits than its factorization.

3645576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4619 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 3645576 is about 1909.3391526913. The cubic root of 3645576 is about 153.9059413266.

The spelling of 3645576 in words is "three million, six hundred forty-five thousand, five hundred seventy-six".