3645240800 has 72 divisors (see below), whose sum is σ = 8922928896. Its totient is φ = 1454167040.

The previous prime is 3645240791. The next prime is 3645240817. The reversal of 3645240800 is 80425463.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300452 + ... + 312348.

It is an arithmetic number, because the mean of its divisors is an integer number (123929568).

Almost surely, 2^3645240800 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 3645240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461464448).

3645240800 is an abundant number, since it is smaller than the sum of its proper divisors (5277688096).

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

3645240800 is a wasteful number, since it uses less digits than its factorization.

3645240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12300 (or 12287 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 3645240800 is about 60375.8296009256. The cubic root of 3645240800 is about 1539.0122411564.

The spelling of 3645240800 in words is "three billion, six hundred forty-five million, two hundred forty thousand, eight hundred".