3654648800 has 144 divisors (see below), whose sum is σ = 9899366400. Its totient is φ = 1306252800.

The previous prime is 3654648793. The next prime is 3654648821. The reversal of 3654648800 is 88464563.

3654648800 is digitally balanced in base 2, because in such base 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 (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515681 + ... + 522719.

It is an arithmetic number, because the mean of its divisors is an integer number (68745600).

Almost surely, 2^3654648800 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 3654648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949683200).

3654648800 is an abundant number, since it is smaller than the sum of its proper divisors (6244717600).

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

3654648800 is a wasteful number, since it uses less digits than its factorization.

3654648800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7129 (or 7116 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The square root of 3654648800 is about 60453.6913678561. The cubic root of 3654648800 is about 1540.3351156919.

The spelling of 3654648800 in words is "three billion, six hundred fifty-four million, six hundred forty-eight thousand, eight hundred".