3644135461120 has 288 divisors, whose sum is σ = 10990493289216. Its totient is φ = 1124585472000.

The previous prime is 3644135461097. The next prime is 3644135461157. The reversal of 3644135461120 is 211645314463.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 31 ways as a sum of consecutive naturals, for example, 9771522 + ... + 10137598.

It is an arithmetic number, because the mean of its divisors is an integer number (38161435032).

Almost surely, 2^{3644135461120} 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 3644135461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495246644608).

3644135461120 is an abundant number, since it is smaller than the sum of its proper divisors (7346357828096).

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

3644135461120 is a wasteful number, since it uses less digits than its factorization.

3644135461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366217 (or 366203 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 3644135461120 in words is "three trillion, six hundred forty-four billion, one hundred thirty-five million, four hundred sixty-one thousand, one hundred twenty".