3645600 has 216 divisors, whose sum is σ = 14249088. Its totient is φ = 806400.

The previous prime is 3645589. The next prime is 3645611. The reversal of 3645600 is 65463.

It is an interprime number because it is at equal distance from previous prime (3645589) and next prime (3645611).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117585 + ... + 117615.

It is an arithmetic number, because the mean of its divisors is an integer number (65968).

Almost surely, 2^3645600 is an apocalyptic number.

3645600 is a gapful number since it is divisible by the number (30) 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 3645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544).

3645600 is an abundant number, since it is smaller than the sum of its proper divisors (10603488).

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

3645600 is a wasteful number, since it uses less digits than its factorization.

3645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3645600 is about 1909.3454375780. The cubic root of 3645600 is about 153.9062790633.

The spelling of 3645600 in words is "three million, six hundred forty-five thousand, six hundred".