3618144000 has 432 divisors, whose sum is σ = 13803622560. Its totient is φ = 906854400.

The previous prime is 3618143999. The next prime is 3618144029. The reversal of 3618144000 is 4418163.

3618144000 is a `hidden beast` number, since 3 + 618 + 1 + 4 + 40 + 0 + 0 = 666.

3618144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4895631 + ... + 4896369.

It is an arithmetic number, because the mean of its divisors is an integer number (31952830).

Almost surely, 2^3618144000 is an apocalyptic number.

3618144000 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 3618144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901811280).

3618144000 is an abundant number, since it is smaller than the sum of its proper divisors (10185478560).

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

3618144000 is a wasteful number, since it uses less digits than its factorization.

3618144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3618144000 is about 60151.0099665833. The cubic root of 3618144000 is about 1535.1893508878.

The spelling of 3618144000 in words is "three billion, six hundred eighteen million, one hundred forty-four thousand".