3645813600 has 432 divisors, whose sum is σ = 15107876784. Its totient is φ = 815616000.

The previous prime is 3645813593. The next prime is 3645813601. The reversal of 3645813600 is 63185463.

3645813600 is a `hidden beast` number, since 3 + 6 + 45 + 8 + 1 + 3 + 600 = 666.

3645813600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645813601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1027830 + ... + 1031370.

It is an arithmetic number, because the mean of its divisors is an integer number (34971937).

Almost surely, 2^3645813600 is an apocalyptic number.

3645813600 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 3645813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7553938392).

3645813600 is an abundant number, since it is smaller than the sum of its proper divisors (11462063184).

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

3645813600 is a wasteful number, since it uses less digits than its factorization.

3645813600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3645813600 is about 60380.5730347104. The cubic root of 3645813600 is about 1539.0928485465.

The spelling of 3645813600 in words is "three billion, six hundred forty-five million, eight hundred thirteen thousand, six hundred".