3641444244000 has 288 divisors, whose sum is σ = 13272773872176. Its totient is φ = 944806809600.

The previous prime is 3641444243981. The next prime is 3641444244017. The reversal of 3641444244000 is 4424441463.

3641444244000 is a `hidden beast` number, since 3 + 641 + 4 + 4 + 4 + 2 + 4 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 846274884624 + 2795169359376 = 919932^2 + 1671876^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 34909 + ... + 2698908.

Almost surely, 2^{3641444244000} is an apocalyptic number.

3641444244000 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 3641444244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636386936088).

3641444244000 is an abundant number, since it is smaller than the sum of its proper divisors (9631329628176).

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

3641444244000 is a wasteful number, since it uses less digits than its factorization.

3641444244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733885 (or 2733864 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 3641444244000 its reverse (4424441463), we get a palindrome (3645868685463).

The spelling of 3641444244000 in words is "three trillion, six hundred forty-one billion, four hundred forty-four million, two hundred forty-four thousand".