3663231122304 has 1280 divisors, whose sum is σ = 12801517344000. Its totient is φ = 1030164480000.

The previous prime is 3663231122281. The next prime is 3663231122321. The reversal of 3663231122304 is 4032211323663.

3663231122304 is a `hidden beast` number, since 3 + 6 + 6 + 32 + 311 + 2 + 2 + 304 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14594546179 + ... + 14594546429.

It is an arithmetic number, because the mean of its divisors is an integer number (10001185425).

Almost surely, 2^{3663231122304} 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 3663231122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400758672000).

3663231122304 is an abundant number, since it is smaller than the sum of its proper divisors (9138286221696).

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

3663231122304 is a wasteful number, since it uses less digits than its factorization.

3663231122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 3663231122304 its reverse (4032211323663), we get a palindrome (7695442445967).

The spelling of 3663231122304 in words is "three trillion, six hundred sixty-three billion, two hundred thirty-one million, one hundred twenty-two thousand, three hundred four".